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Finding the Fourth Proportional to 65,043.80, 97,381.22 and 42,580.68

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Solution

The fourth proportional to 65,043.80, 97,381.22 and 42,580.68 is: 63,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,043.80 : 97,381.22 = 42,580.68 : x
  2. Step 2: Convert to fraction form
    65,043.80/97,381.22 = 42,580.68/x
  3. Step 3: Cross multiply
    65,043.80x = 97,381.22 × 42,580.68
  4. Step 4: Simplify right side
    65,043.80x = 4,146,558,566.83
  5. Step 5: Solve for x
    x = 4,146,558,566.83/65,043.80
  6. Step 6: Final answer
    x = 63,750.25

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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.