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Finding the Fourth Proportional to 64,312.32, 88,768.80 and 41,952

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Solution

The fourth proportional to 64,312.32, 88,768.80 and 41,952 is: 57,905.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,312.32 : 88,768.80 = 41,952 : x
  2. Step 2: Convert to fraction form
    64,312.32/88,768.80 = 41,952/x
  3. Step 3: Cross multiply
    64,312.32x = 88,768.80 × 41,952
  4. Step 4: Simplify right side
    64,312.32x = 3,724,028,697.60
  5. Step 5: Solve for x
    x = 3,724,028,697.60/64,312.32
  6. Step 6: Final answer
    x = 57,905.37

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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.