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Finding the Fourth Proportional to 44,280, 61,106.40 and 27,513

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Solution

The fourth proportional to 44,280, 61,106.40 and 27,513 is: 37,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,280 : 61,106.40 = 27,513 : x
  2. Step 2: Convert to fraction form
    44,280/61,106.40 = 27,513/x
  3. Step 3: Cross multiply
    44,280x = 61,106.40 × 27,513
  4. Step 4: Simplify right side
    44,280x = 1,681,220,383.20
  5. Step 5: Solve for x
    x = 1,681,220,383.20/44,280
  6. Step 6: Final answer
    x = 37,967.94

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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.