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Finding the Fourth Proportional to 44,652, 61,619.76 and 24,780

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Solution

The fourth proportional to 44,652, 61,619.76 and 24,780 is: 34,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,652 : 61,619.76 = 24,780 : x
  2. Step 2: Convert to fraction form
    44,652/61,619.76 = 24,780/x
  3. Step 3: Cross multiply
    44,652x = 61,619.76 × 24,780
  4. Step 4: Simplify right side
    44,652x = 1,526,937,652.80
  5. Step 5: Solve for x
    x = 1,526,937,652.80/44,652
  6. Step 6: Final answer
    x = 34,196.40

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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.