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Finding the Fourth Proportional to 77,447.68, 106,938 and 59,514.40

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Solution

The fourth proportional to 77,447.68, 106,938 and 59,514.40 is: 82,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,447.68 : 106,938 = 59,514.40 : x
  2. Step 2: Convert to fraction form
    77,447.68/106,938 = 59,514.40/x
  3. Step 3: Cross multiply
    77,447.68x = 106,938 × 59,514.40
  4. Step 4: Simplify right side
    77,447.68x = 6,364,350,907.20
  5. Step 5: Solve for x
    x = 6,364,350,907.20/77,447.68
  6. Step 6: Final answer
    x = 82,176.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.