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Finding the Fourth Proportional to 53,150.84, 73,345.46 and 29,277

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Solution

The fourth proportional to 53,150.84, 73,345.46 and 29,277 is: 40,400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,150.84 : 73,345.46 = 29,277 : x
  2. Step 2: Convert to fraction form
    53,150.84/73,345.46 = 29,277/x
  3. Step 3: Cross multiply
    53,150.84x = 73,345.46 × 29,277
  4. Step 4: Simplify right side
    53,150.84x = 2,147,335,032.42
  5. Step 5: Solve for x
    x = 2,147,335,032.42/53,150.84
  6. Step 6: Final answer
    x = 40,400.77

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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.