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Finding the Fourth Proportional to 101,633.04, 152,465.72 and 31,497.84

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Solution

The fourth proportional to 101,633.04, 152,465.72 and 31,497.84 is: 47,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,633.04 : 152,465.72 = 31,497.84 : x
  2. Step 2: Convert to fraction form
    101,633.04/152,465.72 = 31,497.84/x
  3. Step 3: Cross multiply
    101,633.04x = 152,465.72 × 31,497.84
  4. Step 4: Simplify right side
    101,633.04x = 4,802,340,854.04
  5. Step 5: Solve for x
    x = 4,802,340,854.04/101,633.04
  6. Step 6: Final answer
    x = 47,251.77

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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.