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Finding the Fourth Proportional to 101,710.12, 152,566.64 and 31,585

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Solution

The fourth proportional to 101,710.12, 152,566.64 and 31,585 is: 47,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,710.12 : 152,566.64 = 31,585 : x
  2. Step 2: Convert to fraction form
    101,710.12/152,566.64 = 31,585/x
  3. Step 3: Cross multiply
    101,710.12x = 152,566.64 × 31,585
  4. Step 4: Simplify right side
    101,710.12x = 4,818,817,324.40
  5. Step 5: Solve for x
    x = 4,818,817,324.40/101,710.12
  6. Step 6: Final answer
    x = 47,377.95

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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.