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Finding the Fourth Proportional to 38,510.56, 57,746.16 and 17,716

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Solution

The fourth proportional to 38,510.56, 57,746.16 and 17,716 is: 26,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510.56 : 57,746.16 = 17,716 : x
  2. Step 2: Convert to fraction form
    38,510.56/57,746.16 = 17,716/x
  3. Step 3: Cross multiply
    38,510.56x = 57,746.16 × 17,716
  4. Step 4: Simplify right side
    38,510.56x = 1,023,030,970.56
  5. Step 5: Solve for x
    x = 1,023,030,970.56/38,510.56
  6. Step 6: Final answer
    x = 26,564.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.