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Finding the Fourth Proportional to 47,909.53, 66,100.51 and 27,762.51

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Solution

The fourth proportional to 47,909.53, 66,100.51 and 27,762.51 is: 38,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,909.53 : 66,100.51 = 27,762.51 : x
  2. Step 2: Convert to fraction form
    47,909.53/66,100.51 = 27,762.51/x
  3. Step 3: Cross multiply
    47,909.53x = 66,100.51 × 27,762.51
  4. Step 4: Simplify right side
    47,909.53x = 1,835,116,069.88
  5. Step 5: Solve for x
    x = 1,835,116,069.88/47,909.53
  6. Step 6: Final answer
    x = 38,303.78

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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.