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Finding the Fourth Proportional to 65,417.40, 97,931.70 and 43,255.80

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Solution

The fourth proportional to 65,417.40, 97,931.70 and 43,255.80 is: 64,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,417.40 : 97,931.70 = 43,255.80 : x
  2. Step 2: Convert to fraction form
    65,417.40/97,931.70 = 43,255.80/x
  3. Step 3: Cross multiply
    65,417.40x = 97,931.70 × 43,255.80
  4. Step 4: Simplify right side
    65,417.40x = 4,236,114,028.86
  5. Step 5: Solve for x
    x = 4,236,114,028.86/65,417.40
  6. Step 6: Final answer
    x = 64,755.16

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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.