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Finding the Fourth Proportional to 83,281.79, 114,931.85 and 47,466.02

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Solution

The fourth proportional to 83,281.79, 114,931.85 and 47,466.02 is: 65,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,281.79 : 114,931.85 = 47,466.02 : x
  2. Step 2: Convert to fraction form
    83,281.79/114,931.85 = 47,466.02/x
  3. Step 3: Cross multiply
    83,281.79x = 114,931.85 × 47,466.02
  4. Step 4: Simplify right side
    83,281.79x = 5,455,357,253.41
  5. Step 5: Solve for x
    x = 5,455,357,253.41/83,281.79
  6. Step 6: Final answer
    x = 65,504.80

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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.