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Finding the Fourth Proportional to 97,503.19, 146,254.78 and 23,631.19

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Solution

The fourth proportional to 97,503.19, 146,254.78 and 23,631.19 is: 35,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,503.19 : 146,254.78 = 23,631.19 : x
  2. Step 2: Convert to fraction form
    97,503.19/146,254.78 = 23,631.19/x
  3. Step 3: Cross multiply
    97,503.19x = 146,254.78 × 23,631.19
  4. Step 4: Simplify right side
    97,503.19x = 3,456,174,158.49
  5. Step 5: Solve for x
    x = 3,456,174,158.49/97,503.19
  6. Step 6: Final answer
    x = 35,446.78

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1.5x scale

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.