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Finding the Fourth Proportional to 48,180, 66,561.72 and 38,510.40

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Solution

The fourth proportional to 48,180, 66,561.72 and 38,510.40 is: 53,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,180 : 66,561.72 = 38,510.40 : x
  2. Step 2: Convert to fraction form
    48,180/66,561.72 = 38,510.40/x
  3. Step 3: Cross multiply
    48,180x = 66,561.72 × 38,510.40
  4. Step 4: Simplify right side
    48,180x = 2,563,318,461.89
  5. Step 5: Solve for x
    x = 2,563,318,461.89/48,180
  6. Step 6: Final answer
    x = 53,202.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.