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Finding the Fourth Proportional to 52,062.24, 78,050.16 and 29,892

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Solution

The fourth proportional to 52,062.24, 78,050.16 and 29,892 is: 44,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,062.24 : 78,050.16 = 29,892 : x
  2. Step 2: Convert to fraction form
    52,062.24/78,050.16 = 29,892/x
  3. Step 3: Cross multiply
    52,062.24x = 78,050.16 × 29,892
  4. Step 4: Simplify right side
    52,062.24x = 2,333,075,382.72
  5. Step 5: Solve for x
    x = 2,333,075,382.72/52,062.24
  6. Step 6: Final answer
    x = 44,813.20

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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.