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Finding the Fourth Proportional to 34,833.40, 52,250.10 and 8,538.40

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Solution

The fourth proportional to 34,833.40, 52,250.10 and 8,538.40 is: 12,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,833.40 : 52,250.10 = 8,538.40 : x
  2. Step 2: Convert to fraction form
    34,833.40/52,250.10 = 8,538.40/x
  3. Step 3: Cross multiply
    34,833.40x = 52,250.10 × 8,538.40
  4. Step 4: Simplify right side
    34,833.40x = 446,132,253.84
  5. Step 5: Solve for x
    x = 446,132,253.84/34,833.40
  6. Step 6: Final answer
    x = 12,807.60

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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.