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Finding the Fourth Proportional to 34,555.02, 47,656.53 and 27,838.50

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Solution

The fourth proportional to 34,555.02, 47,656.53 and 27,838.50 is: 38,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,555.02 : 47,656.53 = 27,838.50 : x
  2. Step 2: Convert to fraction form
    34,555.02/47,656.53 = 27,838.50/x
  3. Step 3: Cross multiply
    34,555.02x = 47,656.53 × 27,838.50
  4. Step 4: Simplify right side
    34,555.02x = 1,326,686,310.41
  5. Step 5: Solve for x
    x = 1,326,686,310.41/34,555.02
  6. Step 6: Final answer
    x = 38,393.45

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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.