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Finding the Fourth Proportional to 52,831.04, 72,892.32 and 32,678.24

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Solution

The fourth proportional to 52,831.04, 72,892.32 and 32,678.24 is: 45,086.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,831.04 : 72,892.32 = 32,678.24 : x
  2. Step 2: Convert to fraction form
    52,831.04/72,892.32 = 32,678.24/x
  3. Step 3: Cross multiply
    52,831.04x = 72,892.32 × 32,678.24
  4. Step 4: Simplify right side
    52,831.04x = 2,381,992,727.12
  5. Step 5: Solve for x
    x = 2,381,992,727.12/52,831.04
  6. Step 6: Final answer
    x = 45,086.99

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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.