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Finding the Fourth Proportional to 57,384.19, 86,081.24 and 15,831.19

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Solution

The fourth proportional to 57,384.19, 86,081.24 and 15,831.19 is: 23,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,384.19 : 86,081.24 = 15,831.19 : x
  2. Step 2: Convert to fraction form
    57,384.19/86,081.24 = 15,831.19/x
  3. Step 3: Cross multiply
    57,384.19x = 86,081.24 × 15,831.19
  4. Step 4: Simplify right side
    57,384.19x = 1,362,768,290.25
  5. Step 5: Solve for x
    x = 1,362,768,290.25/57,384.19
  6. Step 6: Final answer
    x = 23,748.15

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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.