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Finding the Fourth Proportional to 103,097.46, 154,597.65 and 39,947.16

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Solution

The fourth proportional to 103,097.46, 154,597.65 and 39,947.16 is: 59,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,097.46 : 154,597.65 = 39,947.16 : x
  2. Step 2: Convert to fraction form
    103,097.46/154,597.65 = 39,947.16/x
  3. Step 3: Cross multiply
    103,097.46x = 154,597.65 × 39,947.16
  4. Step 4: Simplify right side
    103,097.46x = 6,175,737,060.17
  5. Step 5: Solve for x
    x = 6,175,737,060.17/103,097.46
  6. Step 6: Final answer
    x = 59,901.93

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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.