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Finding the Fourth Proportional to 53,368, 73,649.31 and 29,496.22

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Solution

The fourth proportional to 53,368, 73,649.31 and 29,496.22 is: 40,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,368 : 73,649.31 = 29,496.22 : x
  2. Step 2: Convert to fraction form
    53,368/73,649.31 = 29,496.22/x
  3. Step 3: Cross multiply
    53,368x = 73,649.31 × 29,496.22
  4. Step 4: Simplify right side
    53,368x = 2,172,376,250.61
  5. Step 5: Solve for x
    x = 2,172,376,250.61/53,368
  6. Step 6: Final answer
    x = 40,705.60

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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.