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Finding the Fourth Proportional to 86,793.84, 130,192.92 and 24,462

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Solution

The fourth proportional to 86,793.84, 130,192.92 and 24,462 is: 36,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,793.84 : 130,192.92 = 24,462 : x
  2. Step 2: Convert to fraction form
    86,793.84/130,192.92 = 24,462/x
  3. Step 3: Cross multiply
    86,793.84x = 130,192.92 × 24,462
  4. Step 4: Simplify right side
    86,793.84x = 3,184,779,209.04
  5. Step 5: Solve for x
    x = 3,184,779,209.04/86,793.84
  6. Step 6: Final answer
    x = 36,693.61

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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.