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Finding the Fourth Proportional to 42,801.33, 64,207.47 and 16,513.59

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Solution

The fourth proportional to 42,801.33, 64,207.47 and 16,513.59 is: 24,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,801.33 : 64,207.47 = 16,513.59 : x
  2. Step 2: Convert to fraction form
    42,801.33/64,207.47 = 16,513.59/x
  3. Step 3: Cross multiply
    42,801.33x = 64,207.47 × 16,513.59
  4. Step 4: Simplify right side
    42,801.33x = 1,060,295,834.52
  5. Step 5: Solve for x
    x = 1,060,295,834.52/42,801.33
  6. Step 6: Final answer
    x = 24,772.50

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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.