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Finding the Fourth Proportional to 65,114.60, 97,880.70 and 60,492.20

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Solution

The fourth proportional to 65,114.60, 97,880.70 and 60,492.20 is: 90,932.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.60 : 97,880.70 = 60,492.20 : x
  2. Step 2: Convert to fraction form
    65,114.60/97,880.70 = 60,492.20/x
  3. Step 3: Cross multiply
    65,114.60x = 97,880.70 × 60,492.20
  4. Step 4: Simplify right side
    65,114.60x = 5,921,018,880.54
  5. Step 5: Solve for x
    x = 5,921,018,880.54/65,114.60
  6. Step 6: Final answer
    x = 90,932.28

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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.