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Finding the Fourth Proportional to 57,870.16, 86,812.19 and 20,422.50

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Solution

The fourth proportional to 57,870.16, 86,812.19 and 20,422.50 is: 30,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,870.16 : 86,812.19 = 20,422.50 : x
  2. Step 2: Convert to fraction form
    57,870.16/86,812.19 = 20,422.50/x
  3. Step 3: Cross multiply
    57,870.16x = 86,812.19 × 20,422.50
  4. Step 4: Simplify right side
    57,870.16x = 1,772,921,848.16
  5. Step 5: Solve for x
    x = 1,772,921,848.16/57,870.16
  6. Step 6: Final answer
    x = 30,636.20

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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.