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Finding the Fourth Proportional to 64,498, 96,709.41 and 25,008.98

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Solution

The fourth proportional to 64,498, 96,709.41 and 25,008.98 is: 37,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,498 : 96,709.41 = 25,008.98 : x
  2. Step 2: Convert to fraction form
    64,498/96,709.41 = 25,008.98/x
  3. Step 3: Cross multiply
    64,498x = 96,709.41 × 25,008.98
  4. Step 4: Simplify right side
    64,498x = 2,418,603,700.50
  5. Step 5: Solve for x
    x = 2,418,603,700.50/64,498
  6. Step 6: Final answer
    x = 37,498.89

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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.