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Finding the Fourth Proportional to 72,429, 108,580.71 and 28,025.20

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Solution

The fourth proportional to 72,429, 108,580.71 and 28,025.20 is: 42,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,429 : 108,580.71 = 28,025.20 : x
  2. Step 2: Convert to fraction form
    72,429/108,580.71 = 28,025.20/x
  3. Step 3: Cross multiply
    72,429x = 108,580.71 × 28,025.20
  4. Step 4: Simplify right side
    72,429x = 3,042,996,113.89
  5. Step 5: Solve for x
    x = 3,042,996,113.89/72,429
  6. Step 6: Final answer
    x = 42,013.50

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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.