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Finding the Fourth Proportional to 56,407.96, 77,833.10 and 32,197.86

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Solution

The fourth proportional to 56,407.96, 77,833.10 and 32,197.86 is: 44,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,407.96 : 77,833.10 = 32,197.86 : x
  2. Step 2: Convert to fraction form
    56,407.96/77,833.10 = 32,197.86/x
  3. Step 3: Cross multiply
    56,407.96x = 77,833.10 × 32,197.86
  4. Step 4: Simplify right side
    56,407.96x = 2,506,059,257.17
  5. Step 5: Solve for x
    x = 2,506,059,257.17/56,407.96
  6. Step 6: Final answer
    x = 44,427.40

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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.