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Finding the Fourth Proportional to 83,300.86, 114,958.05 and 45,575.11

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Solution

The fourth proportional to 83,300.86, 114,958.05 and 45,575.11 is: 62,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,300.86 : 114,958.05 = 45,575.11 : x
  2. Step 2: Convert to fraction form
    83,300.86/114,958.05 = 45,575.11/x
  3. Step 3: Cross multiply
    83,300.86x = 114,958.05 × 45,575.11
  4. Step 4: Simplify right side
    83,300.86x = 5,239,225,199.35
  5. Step 5: Solve for x
    x = 5,239,225,199.35/83,300.86
  6. Step 6: Final answer
    x = 62,895.22

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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.