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Finding the Fourth Proportional to 75,700.65, 113,423.40 and 59,844.90

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Solution

The fourth proportional to 75,700.65, 113,423.40 and 59,844.90 is: 89,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,700.65 : 113,423.40 = 59,844.90 : x
  2. Step 2: Convert to fraction form
    75,700.65/113,423.40 = 59,844.90/x
  3. Step 3: Cross multiply
    75,700.65x = 113,423.40 × 59,844.90
  4. Step 4: Simplify right side
    75,700.65x = 6,787,812,030.66
  5. Step 5: Solve for x
    x = 6,787,812,030.66/75,700.65
  6. Step 6: Final answer
    x = 89,666.50

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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.