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Finding the Fourth Proportional to 65,084.80, 97,627.20 and 42,923.20

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Solution

The fourth proportional to 65,084.80, 97,627.20 and 42,923.20 is: 64,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,084.80 : 97,627.20 = 42,923.20 : x
  2. Step 2: Convert to fraction form
    65,084.80/97,627.20 = 42,923.20/x
  3. Step 3: Cross multiply
    65,084.80x = 97,627.20 × 42,923.20
  4. Step 4: Simplify right side
    65,084.80x = 4,190,471,831.04
  5. Step 5: Solve for x
    x = 4,190,471,831.04/65,084.80
  6. Step 6: Final answer
    x = 64,384.80

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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.