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Finding the Fourth Proportional to 89,832.04, 123,969 and 49,547.32

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Solution

The fourth proportional to 89,832.04, 123,969 and 49,547.32 is: 68,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,832.04 : 123,969 = 49,547.32 : x
  2. Step 2: Convert to fraction form
    89,832.04/123,969 = 49,547.32/x
  3. Step 3: Cross multiply
    89,832.04x = 123,969 × 49,547.32
  4. Step 4: Simplify right side
    89,832.04x = 6,142,331,713.08
  5. Step 5: Solve for x
    x = 6,142,331,713.08/89,832.04
  6. Step 6: Final answer
    x = 68,375.73

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1.5x scale

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.