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Finding the Fourth Proportional to 56,374.53, 77,849.15 and 42,202.77

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Solution

The fourth proportional to 56,374.53, 77,849.15 and 42,202.77 is: 58,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,374.53 : 77,849.15 = 42,202.77 : x
  2. Step 2: Convert to fraction form
    56,374.53/77,849.15 = 42,202.77/x
  3. Step 3: Cross multiply
    56,374.53x = 77,849.15 × 42,202.77
  4. Step 4: Simplify right side
    56,374.53x = 3,285,449,561.13
  5. Step 5: Solve for x
    x = 3,285,449,561.13/56,374.53
  6. Step 6: Final answer
    x = 58,278.97

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1.5x scale

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.