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Finding the Fourth Proportional to 51,382, 70,907.20 and 29,026

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Solution

The fourth proportional to 51,382, 70,907.20 and 29,026 is: 40,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,382 : 70,907.20 = 29,026 : x
  2. Step 2: Convert to fraction form
    51,382/70,907.20 = 29,026/x
  3. Step 3: Cross multiply
    51,382x = 70,907.20 × 29,026
  4. Step 4: Simplify right side
    51,382x = 2,058,152,387.20
  5. Step 5: Solve for x
    x = 2,058,152,387.20/51,382
  6. Step 6: Final answer
    x = 40,055.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.