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Finding the Fourth Proportional to 31,539, 47,303.64 and 10,488.24

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Solution

The fourth proportional to 31,539, 47,303.64 and 10,488.24 is: 15,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,539 : 47,303.64 = 10,488.24 : x
  2. Step 2: Convert to fraction form
    31,539/47,303.64 = 10,488.24/x
  3. Step 3: Cross multiply
    31,539x = 47,303.64 × 10,488.24
  4. Step 4: Simplify right side
    31,539x = 496,131,929.19
  5. Step 5: Solve for x
    x = 496,131,929.19/31,539
  6. Step 6: Final answer
    x = 15,730.74

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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.