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Finding the Fourth Proportional to 85,435.38, 117,898.02 and 47,192.76

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Solution

The fourth proportional to 85,435.38, 117,898.02 and 47,192.76 is: 65,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,435.38 : 117,898.02 = 47,192.76 : x
  2. Step 2: Convert to fraction form
    85,435.38/117,898.02 = 47,192.76/x
  3. Step 3: Cross multiply
    85,435.38x = 117,898.02 × 47,192.76
  4. Step 4: Simplify right side
    85,435.38x = 5,563,932,962.34
  5. Step 5: Solve for x
    x = 5,563,932,962.34/85,435.38
  6. Step 6: Final answer
    x = 65,124.46

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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.