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Finding the Fourth Proportional to 97,703.70, 146,604.15 and 38,541.30

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Solution

The fourth proportional to 97,703.70, 146,604.15 and 38,541.30 is: 57,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,703.70 : 146,604.15 = 38,541.30 : x
  2. Step 2: Convert to fraction form
    97,703.70/146,604.15 = 38,541.30/x
  3. Step 3: Cross multiply
    97,703.70x = 146,604.15 × 38,541.30
  4. Step 4: Simplify right side
    97,703.70x = 5,650,314,526.40
  5. Step 5: Solve for x
    x = 5,650,314,526.40/97,703.70
  6. Step 6: Final answer
    x = 57,831.12

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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.