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Finding the Fourth Proportional to 34,702.40, 52,049.76 and 10,078.40

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Solution

The fourth proportional to 34,702.40, 52,049.76 and 10,078.40 is: 15,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702.40 : 52,049.76 = 10,078.40 : x
  2. Step 2: Convert to fraction form
    34,702.40/52,049.76 = 10,078.40/x
  3. Step 3: Cross multiply
    34,702.40x = 52,049.76 × 10,078.40
  4. Step 4: Simplify right side
    34,702.40x = 524,578,301.18
  5. Step 5: Solve for x
    x = 524,578,301.18/34,702.40
  6. Step 6: Final answer
    x = 15,116.48

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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.