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Finding the Fourth Proportional to 51,368, 70,887.84 and 29,012

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Solution

The fourth proportional to 51,368, 70,887.84 and 29,012 is: 40,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,368 : 70,887.84 = 29,012 : x
  2. Step 2: Convert to fraction form
    51,368/70,887.84 = 29,012/x
  3. Step 3: Cross multiply
    51,368x = 70,887.84 × 29,012
  4. Step 4: Simplify right side
    51,368x = 2,056,598,014.08
  5. Step 5: Solve for x
    x = 2,056,598,014.08/51,368
  6. Step 6: Final answer
    x = 40,036.56

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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.