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Finding the Fourth Proportional to 59,347, 81,898.86 and 32,851

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Solution

The fourth proportional to 59,347, 81,898.86 and 32,851 is: 45,334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,347 : 81,898.86 = 32,851 : x
  2. Step 2: Convert to fraction form
    59,347/81,898.86 = 32,851/x
  3. Step 3: Cross multiply
    59,347x = 81,898.86 × 32,851
  4. Step 4: Simplify right side
    59,347x = 2,690,459,449.86
  5. Step 5: Solve for x
    x = 2,690,459,449.86/59,347
  6. Step 6: Final answer
    x = 45,334.38

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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.