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Finding the Fourth Proportional to 52,647.15, 78,947.69 and 15,702.51

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Solution

The fourth proportional to 52,647.15, 78,947.69 and 15,702.51 is: 23,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647.15 : 78,947.69 = 15,702.51 : x
  2. Step 2: Convert to fraction form
    52,647.15/78,947.69 = 15,702.51/x
  3. Step 3: Cross multiply
    52,647.15x = 78,947.69 × 15,702.51
  4. Step 4: Simplify right side
    52,647.15x = 1,239,676,813.19
  5. Step 5: Solve for x
    x = 1,239,676,813.19/52,647.15
  6. Step 6: Final answer
    x = 23,546.89

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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.