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Finding the Fourth Proportional to 70,878.84, 106,285.86 and 24,119.16

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Solution

The fourth proportional to 70,878.84, 106,285.86 and 24,119.16 is: 36,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878.84 : 106,285.86 = 24,119.16 : x
  2. Step 2: Convert to fraction form
    70,878.84/106,285.86 = 24,119.16/x
  3. Step 3: Cross multiply
    70,878.84x = 106,285.86 × 24,119.16
  4. Step 4: Simplify right side
    70,878.84x = 2,563,525,663.08
  5. Step 5: Solve for x
    x = 2,563,525,663.08/70,878.84
  6. Step 6: Final answer
    x = 36,167.71

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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.