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Finding the Fourth Proportional to 25,831.50, 35,618.12 and 23,312.82

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Solution

The fourth proportional to 25,831.50, 35,618.12 and 23,312.82 is: 32,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,831.50 : 35,618.12 = 23,312.82 : x
  2. Step 2: Convert to fraction form
    25,831.50/35,618.12 = 23,312.82/x
  3. Step 3: Cross multiply
    25,831.50x = 35,618.12 × 23,312.82
  4. Step 4: Simplify right side
    25,831.50x = 830,358,820.30
  5. Step 5: Solve for x
    x = 830,358,820.30/25,831.50
  6. Step 6: Final answer
    x = 32,145.20

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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.