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Finding the Fourth Proportional to 73,788.48, 110,637.12 and 31,695.84

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Solution

The fourth proportional to 73,788.48, 110,637.12 and 31,695.84 is: 47,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,788.48 : 110,637.12 = 31,695.84 : x
  2. Step 2: Convert to fraction form
    73,788.48/110,637.12 = 31,695.84/x
  3. Step 3: Cross multiply
    73,788.48x = 110,637.12 × 31,695.84
  4. Step 4: Simplify right side
    73,788.48x = 3,506,736,453.58
  5. Step 5: Solve for x
    x = 3,506,736,453.58/73,788.48
  6. Step 6: Final answer
    x = 47,524.17

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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.