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Finding the Fourth Proportional to 47,988.94, 66,210.06 and 27,838.84

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Solution

The fourth proportional to 47,988.94, 66,210.06 and 27,838.84 is: 38,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,988.94 : 66,210.06 = 27,838.84 : x
  2. Step 2: Convert to fraction form
    47,988.94/66,210.06 = 27,838.84/x
  3. Step 3: Cross multiply
    47,988.94x = 66,210.06 × 27,838.84
  4. Step 4: Simplify right side
    47,988.94x = 1,843,211,266.73
  5. Step 5: Solve for x
    x = 1,843,211,266.73/47,988.94
  6. Step 6: Final answer
    x = 38,409.08

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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.