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Finding the Fourth Proportional to 101,646.46, 152,395.71 and 42,498.91

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Solution

The fourth proportional to 101,646.46, 152,395.71 and 42,498.91 is: 63,717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,646.46 : 152,395.71 = 42,498.91 : x
  2. Step 2: Convert to fraction form
    101,646.46/152,395.71 = 42,498.91/x
  3. Step 3: Cross multiply
    101,646.46x = 152,395.71 × 42,498.91
  4. Step 4: Simplify right side
    101,646.46x = 6,476,651,563.68
  5. Step 5: Solve for x
    x = 6,476,651,563.68/101,646.46
  6. Step 6: Final answer
    x = 63,717.43

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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.