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Finding the Fourth Proportional to 83,848.75, 115,700.75 and 56,683.93

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Solution

The fourth proportional to 83,848.75, 115,700.75 and 56,683.93 is: 78,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,848.75 : 115,700.75 = 56,683.93 : x
  2. Step 2: Convert to fraction form
    83,848.75/115,700.75 = 56,683.93/x
  3. Step 3: Cross multiply
    83,848.75x = 115,700.75 × 56,683.93
  4. Step 4: Simplify right side
    83,848.75x = 6,558,373,284.80
  5. Step 5: Solve for x
    x = 6,558,373,284.80/83,848.75
  6. Step 6: Final answer
    x = 78,216.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.