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Finding the Fourth Proportional to 56,483.04, 77,949.36 and 31,332

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Solution

The fourth proportional to 56,483.04, 77,949.36 and 31,332 is: 43,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,483.04 : 77,949.36 = 31,332 : x
  2. Step 2: Convert to fraction form
    56,483.04/77,949.36 = 31,332/x
  3. Step 3: Cross multiply
    56,483.04x = 77,949.36 × 31,332
  4. Step 4: Simplify right side
    56,483.04x = 2,442,309,347.52
  5. Step 5: Solve for x
    x = 2,442,309,347.52/56,483.04
  6. Step 6: Final answer
    x = 43,239.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.