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Finding the Fourth Proportional to 97,501.25, 146,251.88 and 23,629.25

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Solution

The fourth proportional to 97,501.25, 146,251.88 and 23,629.25 is: 35,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,501.25 : 146,251.88 = 23,629.25 : x
  2. Step 2: Convert to fraction form
    97,501.25/146,251.88 = 23,629.25/x
  3. Step 3: Cross multiply
    97,501.25x = 146,251.88 × 23,629.25
  4. Step 4: Simplify right side
    97,501.25x = 3,455,822,117.34
  5. Step 5: Solve for x
    x = 3,455,822,117.34/97,501.25
  6. Step 6: Final answer
    x = 35,443.88

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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.