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Finding the Fourth Proportional to 105,880.50, 158,820.75 and 32,008.50

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Solution

The fourth proportional to 105,880.50, 158,820.75 and 32,008.50 is: 48,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,880.50 : 158,820.75 = 32,008.50 : x
  2. Step 2: Convert to fraction form
    105,880.50/158,820.75 = 32,008.50/x
  3. Step 3: Cross multiply
    105,880.50x = 158,820.75 × 32,008.50
  4. Step 4: Simplify right side
    105,880.50x = 5,083,613,976.38
  5. Step 5: Solve for x
    x = 5,083,613,976.38/105,880.50
  6. Step 6: Final answer
    x = 48,012.75

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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.