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Finding the Fourth Proportional to 52,702.32, 79,047.64 and 13,259.44

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Solution

The fourth proportional to 52,702.32, 79,047.64 and 13,259.44 is: 19,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,702.32 : 79,047.64 = 13,259.44 : x
  2. Step 2: Convert to fraction form
    52,702.32/79,047.64 = 13,259.44/x
  3. Step 3: Cross multiply
    52,702.32x = 79,047.64 × 13,259.44
  4. Step 4: Simplify right side
    52,702.32x = 1,048,127,439.72
  5. Step 5: Solve for x
    x = 1,048,127,439.72/52,702.32
  6. Step 6: Final answer
    x = 19,887.69

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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.