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Finding the Fourth Proportional to 55,807.68, 77,014.26 and 30,657

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Solution

The fourth proportional to 55,807.68, 77,014.26 and 30,657 is: 42,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,807.68 : 77,014.26 = 30,657 : x
  2. Step 2: Convert to fraction form
    55,807.68/77,014.26 = 30,657/x
  3. Step 3: Cross multiply
    55,807.68x = 77,014.26 × 30,657
  4. Step 4: Simplify right side
    55,807.68x = 2,361,026,168.82
  5. Step 5: Solve for x
    x = 2,361,026,168.82/55,807.68
  6. Step 6: Final answer
    x = 42,306.47

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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.