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Finding the Fourth Proportional to 44,564.86, 61,486.32 and 25,444

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Solution

The fourth proportional to 44,564.86, 61,486.32 and 25,444 is: 35,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,564.86 : 61,486.32 = 25,444 : x
  2. Step 2: Convert to fraction form
    44,564.86/61,486.32 = 25,444/x
  3. Step 3: Cross multiply
    44,564.86x = 61,486.32 × 25,444
  4. Step 4: Simplify right side
    44,564.86x = 1,564,457,926.08
  5. Step 5: Solve for x
    x = 1,564,457,926.08/44,564.86
  6. Step 6: Final answer
    x = 35,105.19

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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.