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Finding the Fourth Proportional to 65,232.20, 97,848.30 and 42,681.80

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Solution

The fourth proportional to 65,232.20, 97,848.30 and 42,681.80 is: 64,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,232.20 : 97,848.30 = 42,681.80 : x
  2. Step 2: Convert to fraction form
    65,232.20/97,848.30 = 42,681.80/x
  3. Step 3: Cross multiply
    65,232.20x = 97,848.30 × 42,681.80
  4. Step 4: Simplify right side
    65,232.20x = 4,176,341,570.94
  5. Step 5: Solve for x
    x = 4,176,341,570.94/65,232.20
  6. Step 6: Final answer
    x = 64,022.70

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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.