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Finding the Fourth Proportional to 57,164, 78,886.34 and 32,013.50

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Solution

The fourth proportional to 57,164, 78,886.34 and 32,013.50 is: 44,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,164 : 78,886.34 = 32,013.50 : x
  2. Step 2: Convert to fraction form
    57,164/78,886.34 = 32,013.50/x
  3. Step 3: Cross multiply
    57,164x = 78,886.34 × 32,013.50
  4. Step 4: Simplify right side
    57,164x = 2,525,427,845.59
  5. Step 5: Solve for x
    x = 2,525,427,845.59/57,164
  6. Step 6: Final answer
    x = 44,178.64

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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.