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Finding the Fourth Proportional to 49,097.60, 73,597.80 and 24,117.20

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Solution

The fourth proportional to 49,097.60, 73,597.80 and 24,117.20 is: 36,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,097.60 : 73,597.80 = 24,117.20 : x
  2. Step 2: Convert to fraction form
    49,097.60/73,597.80 = 24,117.20/x
  3. Step 3: Cross multiply
    49,097.60x = 73,597.80 × 24,117.20
  4. Step 4: Simplify right side
    49,097.60x = 1,774,972,862.16
  5. Step 5: Solve for x
    x = 1,774,972,862.16/49,097.60
  6. Step 6: Final answer
    x = 36,151.93

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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.