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Finding the Fourth Proportional to 40,585, 56,009.46 and 23,823.40

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Solution

The fourth proportional to 40,585, 56,009.46 and 23,823.40 is: 32,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,585 : 56,009.46 = 23,823.40 : x
  2. Step 2: Convert to fraction form
    40,585/56,009.46 = 23,823.40/x
  3. Step 3: Cross multiply
    40,585x = 56,009.46 × 23,823.40
  4. Step 4: Simplify right side
    40,585x = 1,334,335,769.36
  5. Step 5: Solve for x
    x = 1,334,335,769.36/40,585
  6. Step 6: Final answer
    x = 32,877.56

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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.