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Finding the Fourth Proportional to 56,419.76, 77,856.26 and 32,545.02

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Solution

The fourth proportional to 56,419.76, 77,856.26 and 32,545.02 is: 44,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,419.76 : 77,856.26 = 32,545.02 : x
  2. Step 2: Convert to fraction form
    56,419.76/77,856.26 = 32,545.02/x
  3. Step 3: Cross multiply
    56,419.76x = 77,856.26 × 32,545.02
  4. Step 4: Simplify right side
    56,419.76x = 2,533,833,538.83
  5. Step 5: Solve for x
    x = 2,533,833,538.83/56,419.76
  6. Step 6: Final answer
    x = 44,910.39

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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.