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Finding the Fourth Proportional to 153,795.84, 230,695.68 and 48,624

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Solution

The fourth proportional to 153,795.84, 230,695.68 and 48,624 is: 72,936.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,795.84 : 230,695.68 = 48,624 : x
  2. Step 2: Convert to fraction form
    153,795.84/230,695.68 = 48,624/x
  3. Step 3: Cross multiply
    153,795.84x = 230,695.68 × 48,624
  4. Step 4: Simplify right side
    153,795.84x = 11,217,346,744.32
  5. Step 5: Solve for x
    x = 11,217,346,744.32/153,795.84
  6. Step 6: Final answer
    x = 72,936.61

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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.