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Finding the Fourth Proportional to 31,547.52, 47,329.79 and 10,490.99

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Solution

The fourth proportional to 31,547.52, 47,329.79 and 10,490.99 is: 15,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,547.52 : 47,329.79 = 10,490.99 : x
  2. Step 2: Convert to fraction form
    31,547.52/47,329.79 = 10,490.99/x
  3. Step 3: Cross multiply
    31,547.52x = 47,329.79 × 10,490.99
  4. Step 4: Simplify right side
    31,547.52x = 496,536,064.49
  5. Step 5: Solve for x
    x = 496,536,064.49/31,547.52
  6. Step 6: Final answer
    x = 15,739.31

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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.