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Finding the Fourth Proportional to 31,396.68, 47,095.28 and 9,210.42

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Solution

The fourth proportional to 31,396.68, 47,095.28 and 9,210.42 is: 13,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396.68 : 47,095.28 = 9,210.42 : x
  2. Step 2: Convert to fraction form
    31,396.68/47,095.28 = 9,210.42/x
  3. Step 3: Cross multiply
    31,396.68x = 47,095.28 × 9,210.42
  4. Step 4: Simplify right side
    31,396.68x = 433,767,262.77
  5. Step 5: Solve for x
    x = 433,767,262.77/31,396.68
  6. Step 6: Final answer
    x = 13,815.70

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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.