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Finding the Fourth Proportional to 52,402.92, 78,602.22 and 12,959.04

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Solution

The fourth proportional to 52,402.92, 78,602.22 and 12,959.04 is: 19,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,402.92 : 78,602.22 = 12,959.04 : x
  2. Step 2: Convert to fraction form
    52,402.92/78,602.22 = 12,959.04/x
  3. Step 3: Cross multiply
    52,402.92x = 78,602.22 × 12,959.04
  4. Step 4: Simplify right side
    52,402.92x = 1,018,609,313.07
  5. Step 5: Solve for x
    x = 1,018,609,313.07/52,402.92
  6. Step 6: Final answer
    x = 19,438.03

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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.