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Finding the Fourth Proportional to 56,471.04, 77,932.80 and 31,320

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Solution

The fourth proportional to 56,471.04, 77,932.80 and 31,320 is: 43,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,471.04 : 77,932.80 = 31,320 : x
  2. Step 2: Convert to fraction form
    56,471.04/77,932.80 = 31,320/x
  3. Step 3: Cross multiply
    56,471.04x = 77,932.80 × 31,320
  4. Step 4: Simplify right side
    56,471.04x = 2,440,855,296
  5. Step 5: Solve for x
    x = 2,440,855,296/56,471.04
  6. Step 6: Final answer
    x = 43,223.13

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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.