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Finding the Fourth Proportional to 40,698.16, 61,046.64 and 24,691.50

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Solution

The fourth proportional to 40,698.16, 61,046.64 and 24,691.50 is: 37,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,698.16 : 61,046.64 = 24,691.50 : x
  2. Step 2: Convert to fraction form
    40,698.16/61,046.64 = 24,691.50/x
  3. Step 3: Cross multiply
    40,698.16x = 61,046.64 × 24,691.50
  4. Step 4: Simplify right side
    40,698.16x = 1,507,333,111.56
  5. Step 5: Solve for x
    x = 1,507,333,111.56/40,698.16
  6. Step 6: Final answer
    x = 37,036.89

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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.