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Finding the Fourth Proportional to 44,567.68, 61,502.56 and 24,424

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Solution

The fourth proportional to 44,567.68, 61,502.56 and 24,424 is: 33,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,567.68 : 61,502.56 = 24,424 : x
  2. Step 2: Convert to fraction form
    44,567.68/61,502.56 = 24,424/x
  3. Step 3: Cross multiply
    44,567.68x = 61,502.56 × 24,424
  4. Step 4: Simplify right side
    44,567.68x = 1,502,138,525.44
  5. Step 5: Solve for x
    x = 1,502,138,525.44/44,567.68
  6. Step 6: Final answer
    x = 33,704.66

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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.