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Finding the Fourth Proportional to 97,718.40, 146,548.80 and 38,534.40

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Solution

The fourth proportional to 97,718.40, 146,548.80 and 38,534.40 is: 57,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,718.40 : 146,548.80 = 38,534.40 : x
  2. Step 2: Convert to fraction form
    97,718.40/146,548.80 = 38,534.40/x
  3. Step 3: Cross multiply
    97,718.40x = 146,548.80 × 38,534.40
  4. Step 4: Simplify right side
    97,718.40x = 5,647,170,078.72
  5. Step 5: Solve for x
    x = 5,647,170,078.72/97,718.40
  6. Step 6: Final answer
    x = 57,790.24

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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.