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Finding the Fourth Proportional to 53,602.65, 80,407.85 and 14,159.25

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Solution

The fourth proportional to 53,602.65, 80,407.85 and 14,159.25 is: 21,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,602.65 : 80,407.85 = 14,159.25 : x
  2. Step 2: Convert to fraction form
    53,602.65/80,407.85 = 14,159.25/x
  3. Step 3: Cross multiply
    53,602.65x = 80,407.85 × 14,159.25
  4. Step 4: Simplify right side
    53,602.65x = 1,138,514,850.11
  5. Step 5: Solve for x
    x = 1,138,514,850.11/53,602.65
  6. Step 6: Final answer
    x = 21,239.90

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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.