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Finding the Fourth Proportional to 77,415.40, 116,123.10 and 42,423.40

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Solution

The fourth proportional to 77,415.40, 116,123.10 and 42,423.40 is: 63,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,415.40 : 116,123.10 = 42,423.40 : x
  2. Step 2: Convert to fraction form
    77,415.40/116,123.10 = 42,423.40/x
  3. Step 3: Cross multiply
    77,415.40x = 116,123.10 × 42,423.40
  4. Step 4: Simplify right side
    77,415.40x = 4,926,336,720.54
  5. Step 5: Solve for x
    x = 4,926,336,720.54/77,415.40
  6. Step 6: Final answer
    x = 63,635.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.