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Finding the Fourth Proportional to 34,750.64, 47,955.37 and 19,642.77

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Solution

The fourth proportional to 34,750.64, 47,955.37 and 19,642.77 is: 27,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,750.64 : 47,955.37 = 19,642.77 : x
  2. Step 2: Convert to fraction form
    34,750.64/47,955.37 = 19,642.77/x
  3. Step 3: Cross multiply
    34,750.64x = 47,955.37 × 19,642.77
  4. Step 4: Simplify right side
    34,750.64x = 941,976,307.15
  5. Step 5: Solve for x
    x = 941,976,307.15/34,750.64
  6. Step 6: Final answer
    x = 27,106.73

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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.