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Finding the Fourth Proportional to 44,264, 61,088.16 and 24,395.84

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Solution

The fourth proportional to 44,264, 61,088.16 and 24,395.84 is: 33,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,264 : 61,088.16 = 24,395.84 : x
  2. Step 2: Convert to fraction form
    44,264/61,088.16 = 24,395.84/x
  3. Step 3: Cross multiply
    44,264x = 61,088.16 × 24,395.84
  4. Step 4: Simplify right side
    44,264x = 1,490,296,977.25
  5. Step 5: Solve for x
    x = 1,490,296,977.25/44,264
  6. Step 6: Final answer
    x = 33,668.38

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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.