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Finding the Fourth Proportional to 83,854.93, 115,719.81 and 48,065.70

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Solution

The fourth proportional to 83,854.93, 115,719.81 and 48,065.70 is: 66,330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,854.93 : 115,719.81 = 48,065.70 : x
  2. Step 2: Convert to fraction form
    83,854.93/115,719.81 = 48,065.70/x
  3. Step 3: Cross multiply
    83,854.93x = 115,719.81 × 48,065.70
  4. Step 4: Simplify right side
    83,854.93x = 5,562,154,026.61
  5. Step 5: Solve for x
    x = 5,562,154,026.61/83,854.93
  6. Step 6: Final answer
    x = 66,330.67

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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.