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Finding the Fourth Proportional to 82,368.75, 113,669.28 and 44,643

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Solution

The fourth proportional to 82,368.75, 113,669.28 and 44,643 is: 61,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,368.75 : 113,669.28 = 44,643 : x
  2. Step 2: Convert to fraction form
    82,368.75/113,669.28 = 44,643/x
  3. Step 3: Cross multiply
    82,368.75x = 113,669.28 × 44,643
  4. Step 4: Simplify right side
    82,368.75x = 5,074,537,667.04
  5. Step 5: Solve for x
    x = 5,074,537,667.04/82,368.75
  6. Step 6: Final answer
    x = 61,607.56

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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.