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Finding the Fourth Proportional to 97,648.11, 146,344.14 and 55,547.55

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Solution

The fourth proportional to 97,648.11, 146,344.14 and 55,547.55 is: 83,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,648.11 : 146,344.14 = 55,547.55 : x
  2. Step 2: Convert to fraction form
    97,648.11/146,344.14 = 55,547.55/x
  3. Step 3: Cross multiply
    97,648.11x = 146,344.14 × 55,547.55
  4. Step 4: Simplify right side
    97,648.11x = 8,129,058,433.86
  5. Step 5: Solve for x
    x = 8,129,058,433.86/97,648.11
  6. Step 6: Final answer
    x = 83,248.50

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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.