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Finding the Fourth Proportional to 65,200.32, 97,833.82 and 31,044.74

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Solution

The fourth proportional to 65,200.32, 97,833.82 and 31,044.74 is: 46,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.32 : 97,833.82 = 31,044.74 : x
  2. Step 2: Convert to fraction form
    65,200.32/97,833.82 = 31,044.74/x
  3. Step 3: Cross multiply
    65,200.32x = 97,833.82 × 31,044.74
  4. Step 4: Simplify right side
    65,200.32x = 3,037,225,505.11
  5. Step 5: Solve for x
    x = 3,037,225,505.11/65,200.32
  6. Step 6: Final answer
    x = 46,582.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.