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Finding the Fourth Proportional to 97,288.56, 145,932.88 and 23,416.56

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Solution

The fourth proportional to 97,288.56, 145,932.88 and 23,416.56 is: 35,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,288.56 : 145,932.88 = 23,416.56 : x
  2. Step 2: Convert to fraction form
    97,288.56/145,932.88 = 23,416.56/x
  3. Step 3: Cross multiply
    97,288.56x = 145,932.88 × 23,416.56
  4. Step 4: Simplify right side
    97,288.56x = 3,417,246,040.49
  5. Step 5: Solve for x
    x = 3,417,246,040.49/97,288.56
  6. Step 6: Final answer
    x = 35,124.85

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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.