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Finding the Fourth Proportional to 44,670, 61,644.63 and 24,798

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Solution

The fourth proportional to 44,670, 61,644.63 and 24,798 is: 34,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,670 : 61,644.63 = 24,798 : x
  2. Step 2: Convert to fraction form
    44,670/61,644.63 = 24,798/x
  3. Step 3: Cross multiply
    44,670x = 61,644.63 × 24,798
  4. Step 4: Simplify right side
    44,670x = 1,528,663,534.74
  5. Step 5: Solve for x
    x = 1,528,663,534.74/44,670
  6. Step 6: Final answer
    x = 34,221.26

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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.