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Finding the Fourth Proportional to 44,762.40, 61,767.27 and 25,896

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Solution

The fourth proportional to 44,762.40, 61,767.27 and 25,896 is: 35,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,762.40 : 61,767.27 = 25,896 : x
  2. Step 2: Convert to fraction form
    44,762.40/61,767.27 = 25,896/x
  3. Step 3: Cross multiply
    44,762.40x = 61,767.27 × 25,896
  4. Step 4: Simplify right side
    44,762.40x = 1,599,525,223.92
  5. Step 5: Solve for x
    x = 1,599,525,223.92/44,762.40
  6. Step 6: Final answer
    x = 35,733.68

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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.