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Finding the Fourth Proportional to 56,203.68, 77,560.92 and 31,053

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Solution

The fourth proportional to 56,203.68, 77,560.92 and 31,053 is: 42,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,203.68 : 77,560.92 = 31,053 : x
  2. Step 2: Convert to fraction form
    56,203.68/77,560.92 = 31,053/x
  3. Step 3: Cross multiply
    56,203.68x = 77,560.92 × 31,053
  4. Step 4: Simplify right side
    56,203.68x = 2,408,499,248.76
  5. Step 5: Solve for x
    x = 2,408,499,248.76/56,203.68
  6. Step 6: Final answer
    x = 42,853.05

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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.