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Finding the Fourth Proportional to 54,926.08, 75,827.40 and 42,964

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Solution

The fourth proportional to 54,926.08, 75,827.40 and 42,964 is: 59,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,926.08 : 75,827.40 = 42,964 : x
  2. Step 2: Convert to fraction form
    54,926.08/75,827.40 = 42,964/x
  3. Step 3: Cross multiply
    54,926.08x = 75,827.40 × 42,964
  4. Step 4: Simplify right side
    54,926.08x = 3,257,848,413.60
  5. Step 5: Solve for x
    x = 3,257,848,413.60/54,926.08
  6. Step 6: Final answer
    x = 59,313.32

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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.