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Finding the Fourth Proportional to 48,970.71, 67,578.71 and 27,749.52

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Solution

The fourth proportional to 48,970.71, 67,578.71 and 27,749.52 is: 38,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,970.71 : 67,578.71 = 27,749.52 : x
  2. Step 2: Convert to fraction form
    48,970.71/67,578.71 = 27,749.52/x
  3. Step 3: Cross multiply
    48,970.71x = 67,578.71 × 27,749.52
  4. Step 4: Simplify right side
    48,970.71x = 1,875,276,625.97
  5. Step 5: Solve for x
    x = 1,875,276,625.97/48,970.71
  6. Step 6: Final answer
    x = 38,293.84

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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.