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Finding the Fourth Proportional to 40,588, 56,013.60 and 23,826.40

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Solution

The fourth proportional to 40,588, 56,013.60 and 23,826.40 is: 32,881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,588 : 56,013.60 = 23,826.40 : x
  2. Step 2: Convert to fraction form
    40,588/56,013.60 = 23,826.40/x
  3. Step 3: Cross multiply
    40,588x = 56,013.60 × 23,826.40
  4. Step 4: Simplify right side
    40,588x = 1,334,602,439.04
  5. Step 5: Solve for x
    x = 1,334,602,439.04/40,588
  6. Step 6: Final answer
    x = 32,881.70

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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.