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Finding the Fourth Proportional to 66,507, 99,760.50 and 24,924.84

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Solution

The fourth proportional to 66,507, 99,760.50 and 24,924.84 is: 37,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,507 : 99,760.50 = 24,924.84 : x
  2. Step 2: Convert to fraction form
    66,507/99,760.50 = 24,924.84/x
  3. Step 3: Cross multiply
    66,507x = 99,760.50 × 24,924.84
  4. Step 4: Simplify right side
    66,507x = 2,486,514,500.82
  5. Step 5: Solve for x
    x = 2,486,514,500.82/66,507
  6. Step 6: Final answer
    x = 37,387.26

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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.