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Finding the Fourth Proportional to 97,650, 134,771.38 and 61,843.34

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Solution

The fourth proportional to 97,650, 134,771.38 and 61,843.34 is: 85,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,650 : 134,771.38 = 61,843.34 : x
  2. Step 2: Convert to fraction form
    97,650/134,771.38 = 61,843.34/x
  3. Step 3: Cross multiply
    97,650x = 134,771.38 × 61,843.34
  4. Step 4: Simplify right side
    97,650x = 8,334,712,275.61
  5. Step 5: Solve for x
    x = 8,334,712,275.61/97,650
  6. Step 6: Final answer
    x = 85,352.92

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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.