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Finding the Fourth Proportional to 29,875.71, 44,815.87 and 7,689.31

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Solution

The fourth proportional to 29,875.71, 44,815.87 and 7,689.31 is: 11,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,875.71 : 44,815.87 = 7,689.31 : x
  2. Step 2: Convert to fraction form
    29,875.71/44,815.87 = 7,689.31/x
  3. Step 3: Cross multiply
    29,875.71x = 44,815.87 × 7,689.31
  4. Step 4: Simplify right side
    29,875.71x = 344,602,971.67
  5. Step 5: Solve for x
    x = 344,602,971.67/29,875.71
  6. Step 6: Final answer
    x = 11,534.55

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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.