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Finding the Fourth Proportional to 77,097.66, 106,417.29 and 44,839.80

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Solution

The fourth proportional to 77,097.66, 106,417.29 and 44,839.80 is: 61,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,097.66 : 106,417.29 = 44,839.80 : x
  2. Step 2: Convert to fraction form
    77,097.66/106,417.29 = 44,839.80/x
  3. Step 3: Cross multiply
    77,097.66x = 106,417.29 × 44,839.80
  4. Step 4: Simplify right side
    77,097.66x = 4,771,730,000.14
  5. Step 5: Solve for x
    x = 4,771,730,000.14/77,097.66
  6. Step 6: Final answer
    x = 61,892.02

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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.