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Finding the Fourth Proportional to 97,508.64, 146,263.68 and 27,389.28

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Solution

The fourth proportional to 97,508.64, 146,263.68 and 27,389.28 is: 41,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,508.64 : 146,263.68 = 27,389.28 : x
  2. Step 2: Convert to fraction form
    97,508.64/146,263.68 = 27,389.28/x
  3. Step 3: Cross multiply
    97,508.64x = 146,263.68 × 27,389.28
  4. Step 4: Simplify right side
    97,508.64x = 4,006,056,885.35
  5. Step 5: Solve for x
    x = 4,006,056,885.35/97,508.64
  6. Step 6: Final answer
    x = 41,084.12

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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.