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Finding the Fourth Proportional to 71,748.59, 107,583.80 and 46,444.69

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Solution

The fourth proportional to 71,748.59, 107,583.80 and 46,444.69 is: 69,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,748.59 : 107,583.80 = 46,444.69 : x
  2. Step 2: Convert to fraction form
    71,748.59/107,583.80 = 46,444.69/x
  3. Step 3: Cross multiply
    71,748.59x = 107,583.80 × 46,444.69
  4. Step 4: Simplify right side
    71,748.59x = 4,996,696,142.28
  5. Step 5: Solve for x
    x = 4,996,696,142.28/71,748.59
  6. Step 6: Final answer
    x = 69,641.74

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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.