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Finding the Fourth Proportional to 49,993.48, 74,549.28 and 49,543.42

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Solution

The fourth proportional to 49,993.48, 74,549.28 and 49,543.42 is: 73,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,993.48 : 74,549.28 = 49,543.42 : x
  2. Step 2: Convert to fraction form
    49,993.48/74,549.28 = 49,543.42/x
  3. Step 3: Cross multiply
    49,993.48x = 74,549.28 × 49,543.42
  4. Step 4: Simplify right side
    49,993.48x = 3,693,426,289.74
  5. Step 5: Solve for x
    x = 3,693,426,289.74/49,993.48
  6. Step 6: Final answer
    x = 73,878.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.