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Finding the Fourth Proportional to 69,864.40, 105,267.32 and 57,657.83

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Solution

The fourth proportional to 69,864.40, 105,267.32 and 57,657.83 is: 86,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,864.40 : 105,267.32 = 57,657.83 : x
  2. Step 2: Convert to fraction form
    69,864.40/105,267.32 = 57,657.83/x
  3. Step 3: Cross multiply
    69,864.40x = 105,267.32 × 57,657.83
  4. Step 4: Simplify right side
    69,864.40x = 6,069,485,241.12
  5. Step 5: Solve for x
    x = 6,069,485,241.12/69,864.40
  6. Step 6: Final answer
    x = 86,875.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.