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Finding the Fourth Proportional to 37,886.18, 52,254.63 and 27,811.40

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Solution

The fourth proportional to 37,886.18, 52,254.63 and 27,811.40 is: 38,358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,886.18 : 52,254.63 = 27,811.40 : x
  2. Step 2: Convert to fraction form
    37,886.18/52,254.63 = 27,811.40/x
  3. Step 3: Cross multiply
    37,886.18x = 52,254.63 × 27,811.40
  4. Step 4: Simplify right side
    37,886.18x = 1,453,274,155.51
  5. Step 5: Solve for x
    x = 1,453,274,155.51/37,886.18
  6. Step 6: Final answer
    x = 38,358.96

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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.