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Finding the Fourth Proportional to 98,031, 147,046.50 and 24,159

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Solution

The fourth proportional to 98,031, 147,046.50 and 24,159 is: 36,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,031 : 147,046.50 = 24,159 : x
  2. Step 2: Convert to fraction form
    98,031/147,046.50 = 24,159/x
  3. Step 3: Cross multiply
    98,031x = 147,046.50 × 24,159
  4. Step 4: Simplify right side
    98,031x = 3,552,496,393.50
  5. Step 5: Solve for x
    x = 3,552,496,393.50/98,031
  6. Step 6: Final answer
    x = 36,238.50

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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.