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Finding the Fourth Proportional to 97,228.80, 145,859.40 and 38,066.40

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Solution

The fourth proportional to 97,228.80, 145,859.40 and 38,066.40 is: 57,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,228.80 : 145,859.40 = 38,066.40 : x
  2. Step 2: Convert to fraction form
    97,228.80/145,859.40 = 38,066.40/x
  3. Step 3: Cross multiply
    97,228.80x = 145,859.40 × 38,066.40
  4. Step 4: Simplify right side
    97,228.80x = 5,552,342,264.16
  5. Step 5: Solve for x
    x = 5,552,342,264.16/97,228.80
  6. Step 6: Final answer
    x = 57,105.94

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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.