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Finding the Fourth Proportional to 82,312, 113,616.48 and 52,504

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Solution

The fourth proportional to 82,312, 113,616.48 and 52,504 is: 72,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,312 : 113,616.48 = 52,504 : x
  2. Step 2: Convert to fraction form
    82,312/113,616.48 = 52,504/x
  3. Step 3: Cross multiply
    82,312x = 113,616.48 × 52,504
  4. Step 4: Simplify right side
    82,312x = 5,965,319,665.92
  5. Step 5: Solve for x
    x = 5,965,319,665.92/82,312
  6. Step 6: Final answer
    x = 72,472.05

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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.