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Finding the Fourth Proportional to 52,214.33, 78,216.15 and 24,095.32

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Solution

The fourth proportional to 52,214.33, 78,216.15 and 24,095.32 is: 36,094.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,214.33 : 78,216.15 = 24,095.32 : x
  2. Step 2: Convert to fraction form
    52,214.33/78,216.15 = 24,095.32/x
  3. Step 3: Cross multiply
    52,214.33x = 78,216.15 × 24,095.32
  4. Step 4: Simplify right side
    52,214.33x = 1,884,643,351.55
  5. Step 5: Solve for x
    x = 1,884,643,351.55/52,214.33
  6. Step 6: Final answer
    x = 36,094.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.