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Finding the Fourth Proportional to 65,114.90, 97,672.35 and 54,617.30

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Solution

The fourth proportional to 65,114.90, 97,672.35 and 54,617.30 is: 81,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.90 : 97,672.35 = 54,617.30 : x
  2. Step 2: Convert to fraction form
    65,114.90/97,672.35 = 54,617.30/x
  3. Step 3: Cross multiply
    65,114.90x = 97,672.35 × 54,617.30
  4. Step 4: Simplify right side
    65,114.90x = 5,334,600,041.66
  5. Step 5: Solve for x
    x = 5,334,600,041.66/65,114.90
  6. Step 6: Final answer
    x = 81,925.95

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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.