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Finding the Fourth Proportional to 82,588.84, 113,972.64 and 44,863.12

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Solution

The fourth proportional to 82,588.84, 113,972.64 and 44,863.12 is: 61,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,588.84 : 113,972.64 = 44,863.12 : x
  2. Step 2: Convert to fraction form
    82,588.84/113,972.64 = 44,863.12/x
  3. Step 3: Cross multiply
    82,588.84x = 113,972.64 × 44,863.12
  4. Step 4: Simplify right side
    82,588.84x = 5,113,168,225.04
  5. Step 5: Solve for x
    x = 5,113,168,225.04/82,588.84
  6. Step 6: Final answer
    x = 61,911.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.