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Finding the Fourth Proportional to 102,432.72, 153,649.08 and 32,319.12

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Solution

The fourth proportional to 102,432.72, 153,649.08 and 32,319.12 is: 48,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,432.72 : 153,649.08 = 32,319.12 : x
  2. Step 2: Convert to fraction form
    102,432.72/153,649.08 = 32,319.12/x
  3. Step 3: Cross multiply
    102,432.72x = 153,649.08 × 32,319.12
  4. Step 4: Simplify right side
    102,432.72x = 4,965,803,054.41
  5. Step 5: Solve for x
    x = 4,965,803,054.41/102,432.72
  6. Step 6: Final answer
    x = 48,478.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.