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Finding the Fourth Proportional to 97,886.48, 146,744.97 and 58,360.55

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Solution

The fourth proportional to 97,886.48, 146,744.97 and 58,360.55 is: 87,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,886.48 : 146,744.97 = 58,360.55 : x
  2. Step 2: Convert to fraction form
    97,886.48/146,744.97 = 58,360.55/x
  3. Step 3: Cross multiply
    97,886.48x = 146,744.97 × 58,360.55
  4. Step 4: Simplify right side
    97,886.48x = 8,564,117,031.80
  5. Step 5: Solve for x
    x = 8,564,117,031.80/97,886.48
  6. Step 6: Final answer
    x = 87,490.30

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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.