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Finding the Fourth Proportional to 74,878.16, 112,316.92 and 19,474

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Solution

The fourth proportional to 74,878.16, 112,316.92 and 19,474 is: 29,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,878.16 : 112,316.92 = 19,474 : x
  2. Step 2: Convert to fraction form
    74,878.16/112,316.92 = 19,474/x
  3. Step 3: Cross multiply
    74,878.16x = 112,316.92 × 19,474
  4. Step 4: Simplify right side
    74,878.16x = 2,187,259,700.08
  5. Step 5: Solve for x
    x = 2,187,259,700.08/74,878.16
  6. Step 6: Final answer
    x = 29,210.92

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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.