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Finding the Fourth Proportional to 52,471.10, 72,412.05 and 29,813.93

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Solution

The fourth proportional to 52,471.10, 72,412.05 and 29,813.93 is: 41,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,471.10 : 72,412.05 = 29,813.93 : x
  2. Step 2: Convert to fraction form
    52,471.10/72,412.05 = 29,813.93/x
  3. Step 3: Cross multiply
    52,471.10x = 72,412.05 × 29,813.93
  4. Step 4: Simplify right side
    52,471.10x = 2,158,887,710.82
  5. Step 5: Solve for x
    x = 2,158,887,710.82/52,471.10
  6. Step 6: Final answer
    x = 41,144.32

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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.