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Finding the Fourth Proportional to 37,854.32, 56,831.72 and 32,343.08

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Solution

The fourth proportional to 37,854.32, 56,831.72 and 32,343.08 is: 48,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854.32 : 56,831.72 = 32,343.08 : x
  2. Step 2: Convert to fraction form
    37,854.32/56,831.72 = 32,343.08/x
  3. Step 3: Cross multiply
    37,854.32x = 56,831.72 × 32,343.08
  4. Step 4: Simplify right side
    37,854.32x = 1,838,112,866.50
  5. Step 5: Solve for x
    x = 1,838,112,866.50/37,854.32
  6. Step 6: Final answer
    x = 48,557.55

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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.