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Finding the Fourth Proportional to 47,855.63, 66,055.30 and 27,717.46

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Solution

The fourth proportional to 47,855.63, 66,055.30 and 27,717.46 is: 38,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,855.63 : 66,055.30 = 27,717.46 : x
  2. Step 2: Convert to fraction form
    47,855.63/66,055.30 = 27,717.46/x
  3. Step 3: Cross multiply
    47,855.63x = 66,055.30 × 27,717.46
  4. Step 4: Simplify right side
    47,855.63x = 1,830,884,901.11
  5. Step 5: Solve for x
    x = 1,830,884,901.11/47,855.63
  6. Step 6: Final answer
    x = 38,258.50

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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.