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Finding the Fourth Proportional to 56,405.42, 77,842.59 and 31,254.38

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Solution

The fourth proportional to 56,405.42, 77,842.59 and 31,254.38 is: 43,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,405.42 : 77,842.59 = 31,254.38 : x
  2. Step 2: Convert to fraction form
    56,405.42/77,842.59 = 31,254.38/x
  3. Step 3: Cross multiply
    56,405.42x = 77,842.59 × 31,254.38
  4. Step 4: Simplify right side
    56,405.42x = 2,432,921,888.04
  5. Step 5: Solve for x
    x = 2,432,921,888.04/56,405.42
  6. Step 6: Final answer
    x = 43,132.77

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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.