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Finding the Fourth Proportional to 82,315, 113,620.62 and 52,507

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Solution

The fourth proportional to 82,315, 113,620.62 and 52,507 is: 72,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,315 : 113,620.62 = 52,507 : x
  2. Step 2: Convert to fraction form
    82,315/113,620.62 = 52,507/x
  3. Step 3: Cross multiply
    82,315x = 113,620.62 × 52,507
  4. Step 4: Simplify right side
    82,315x = 5,965,877,894.34
  5. Step 5: Solve for x
    x = 5,965,877,894.34/82,315
  6. Step 6: Final answer
    x = 72,476.19

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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.