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Finding the Fourth Proportional to 38,177.77, 52,695.35 and 21,416.17

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Solution

The fourth proportional to 38,177.77, 52,695.35 and 21,416.17 is: 29,559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,177.77 : 52,695.35 = 21,416.17 : x
  2. Step 2: Convert to fraction form
    38,177.77/52,695.35 = 21,416.17/x
  3. Step 3: Cross multiply
    38,177.77x = 52,695.35 × 21,416.17
  4. Step 4: Simplify right side
    38,177.77x = 1,128,532,573.81
  5. Step 5: Solve for x
    x = 1,128,532,573.81/38,177.77
  6. Step 6: Final answer
    x = 29,559.94

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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.