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Finding the Fourth Proportional to 34,357.32, 47,419.02 and 20,210.76

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Solution

The fourth proportional to 34,357.32, 47,419.02 and 20,210.76 is: 27,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,357.32 : 47,419.02 = 20,210.76 : x
  2. Step 2: Convert to fraction form
    34,357.32/47,419.02 = 20,210.76/x
  3. Step 3: Cross multiply
    34,357.32x = 47,419.02 × 20,210.76
  4. Step 4: Simplify right side
    34,357.32x = 958,374,432.66
  5. Step 5: Solve for x
    x = 958,374,432.66/34,357.32
  6. Step 6: Final answer
    x = 27,894.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.