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Finding the Fourth Proportional to 32,012.64, 48,018.96 and 16,420.32

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Solution

The fourth proportional to 32,012.64, 48,018.96 and 16,420.32 is: 24,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.64 : 48,018.96 = 16,420.32 : x
  2. Step 2: Convert to fraction form
    32,012.64/48,018.96 = 16,420.32/x
  3. Step 3: Cross multiply
    32,012.64x = 48,018.96 × 16,420.32
  4. Step 4: Simplify right side
    32,012.64x = 788,486,689.27
  5. Step 5: Solve for x
    x = 788,486,689.27/32,012.64
  6. Step 6: Final answer
    x = 24,630.48

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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.