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Finding the Fourth Proportional to 97,725.40, 146,559.30 and 38,541.40

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Solution

The fourth proportional to 97,725.40, 146,559.30 and 38,541.40 is: 57,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,725.40 : 146,559.30 = 38,541.40 : x
  2. Step 2: Convert to fraction form
    97,725.40/146,559.30 = 38,541.40/x
  3. Step 3: Cross multiply
    97,725.40x = 146,559.30 × 38,541.40
  4. Step 4: Simplify right side
    97,725.40x = 5,648,600,605.02
  5. Step 5: Solve for x
    x = 5,648,600,605.02/97,725.40
  6. Step 6: Final answer
    x = 57,800.74

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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.