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Finding the Fourth Proportional to 77,126.40, 106,432.38 and 43,592.40

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Solution

The fourth proportional to 77,126.40, 106,432.38 and 43,592.40 is: 60,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,126.40 : 106,432.38 = 43,592.40 : x
  2. Step 2: Convert to fraction form
    77,126.40/106,432.38 = 43,592.40/x
  3. Step 3: Cross multiply
    77,126.40x = 106,432.38 × 43,592.40
  4. Step 4: Simplify right side
    77,126.40x = 4,639,642,881.91
  5. Step 5: Solve for x
    x = 4,639,642,881.91/77,126.40
  6. Step 6: Final answer
    x = 60,156.35

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Why These Related Problems?

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