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Finding the Fourth Proportional to 49,019.40, 67,646.76 and 27,798.66

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Solution

The fourth proportional to 49,019.40, 67,646.76 and 27,798.66 is: 38,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,019.40 : 67,646.76 = 27,798.66 : x
  2. Step 2: Convert to fraction form
    49,019.40/67,646.76 = 27,798.66/x
  3. Step 3: Cross multiply
    49,019.40x = 67,646.76 × 27,798.66
  4. Step 4: Simplify right side
    49,019.40x = 1,880,489,281.34
  5. Step 5: Solve for x
    x = 1,880,489,281.34/49,019.40
  6. Step 6: Final answer
    x = 38,362.14

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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.