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Finding the Fourth Proportional to 52,009.82, 77,952.32 and 29,838.50

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Solution

The fourth proportional to 52,009.82, 77,952.32 and 29,838.50 is: 44,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,009.82 : 77,952.32 = 29,838.50 : x
  2. Step 2: Convert to fraction form
    52,009.82/77,952.32 = 29,838.50/x
  3. Step 3: Cross multiply
    52,009.82x = 77,952.32 × 29,838.50
  4. Step 4: Simplify right side
    52,009.82x = 2,325,980,300.32
  5. Step 5: Solve for x
    x = 2,325,980,300.32/52,009.82
  6. Step 6: Final answer
    x = 44,721.94

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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.