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Finding the Fourth Proportional to 32,385.96, 48,580.66 and 10,201.06

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Solution

The fourth proportional to 32,385.96, 48,580.66 and 10,201.06 is: 15,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,385.96 : 48,580.66 = 10,201.06 : x
  2. Step 2: Convert to fraction form
    32,385.96/48,580.66 = 10,201.06/x
  3. Step 3: Cross multiply
    32,385.96x = 48,580.66 × 10,201.06
  4. Step 4: Simplify right side
    32,385.96x = 495,574,227.50
  5. Step 5: Solve for x
    x = 495,574,227.50/32,385.96
  6. Step 6: Final answer
    x = 15,302.13

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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.