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Finding the Fourth Proportional to 101,633.72, 152,465.34 and 31,518.68

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Solution

The fourth proportional to 101,633.72, 152,465.34 and 31,518.68 is: 47,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,633.72 : 152,465.34 = 31,518.68 : x
  2. Step 2: Convert to fraction form
    101,633.72/152,465.34 = 31,518.68/x
  3. Step 3: Cross multiply
    101,633.72x = 152,465.34 × 31,518.68
  4. Step 4: Simplify right side
    101,633.72x = 4,805,506,262.55
  5. Step 5: Solve for x
    x = 4,805,506,262.55/101,633.72
  6. Step 6: Final answer
    x = 47,282.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.