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Finding the Fourth Proportional to 83,277.48, 124,828.74 and 30,653.40

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Solution

The fourth proportional to 83,277.48, 124,828.74 and 30,653.40 is: 45,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,277.48 : 124,828.74 = 30,653.40 : x
  2. Step 2: Convert to fraction form
    83,277.48/124,828.74 = 30,653.40/x
  3. Step 3: Cross multiply
    83,277.48x = 124,828.74 × 30,653.40
  4. Step 4: Simplify right side
    83,277.48x = 3,826,425,298.72
  5. Step 5: Solve for x
    x = 3,826,425,298.72/83,277.48
  6. Step 6: Final answer
    x = 45,947.90

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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.