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Finding the Fourth Proportional to 56,802.63, 78,387.84 and 31,652.13

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Solution

The fourth proportional to 56,802.63, 78,387.84 and 31,652.13 is: 43,680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,802.63 : 78,387.84 = 31,652.13 : x
  2. Step 2: Convert to fraction form
    56,802.63/78,387.84 = 31,652.13/x
  3. Step 3: Cross multiply
    56,802.63x = 78,387.84 × 31,652.13
  4. Step 4: Simplify right side
    56,802.63x = 2,481,142,102.10
  5. Step 5: Solve for x
    x = 2,481,142,102.10/56,802.63
  6. Step 6: Final answer
    x = 43,680.06

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Why These Related Problems?

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