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Finding the Fourth Proportional to 65,421.80, 98,132.70 and 42,093.80

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Solution

The fourth proportional to 65,421.80, 98,132.70 and 42,093.80 is: 63,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,421.80 : 98,132.70 = 42,093.80 : x
  2. Step 2: Convert to fraction form
    65,421.80/98,132.70 = 42,093.80/x
  3. Step 3: Cross multiply
    65,421.80x = 98,132.70 × 42,093.80
  4. Step 4: Simplify right side
    65,421.80x = 4,130,778,247.26
  5. Step 5: Solve for x
    x = 4,130,778,247.26/65,421.80
  6. Step 6: Final answer
    x = 63,140.70

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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.