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Finding the Fourth Proportional to 44,288, 61,117.44 and 24,416

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Solution

The fourth proportional to 44,288, 61,117.44 and 24,416 is: 33,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,288 : 61,117.44 = 24,416 : x
  2. Step 2: Convert to fraction form
    44,288/61,117.44 = 24,416/x
  3. Step 3: Cross multiply
    44,288x = 61,117.44 × 24,416
  4. Step 4: Simplify right side
    44,288x = 1,492,243,415.04
  5. Step 5: Solve for x
    x = 1,492,243,415.04/44,288
  6. Step 6: Final answer
    x = 33,694.08

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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.