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Finding the Fourth Proportional to 101,922.71, 152,748.65 and 45,752.31

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Solution

The fourth proportional to 101,922.71, 152,748.65 and 45,752.31 is: 68,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,922.71 : 152,748.65 = 45,752.31 : x
  2. Step 2: Convert to fraction form
    101,922.71/152,748.65 = 45,752.31/x
  3. Step 3: Cross multiply
    101,922.71x = 152,748.65 × 45,752.31
  4. Step 4: Simplify right side
    101,922.71x = 6,988,603,701.26
  5. Step 5: Solve for x
    x = 6,988,603,701.26/101,922.71
  6. Step 6: Final answer
    x = 68,567.68

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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.