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Finding the Fourth Proportional to 47,159.70, 65,076.50 and 27,775.59

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Solution

The fourth proportional to 47,159.70, 65,076.50 and 27,775.59 is: 38,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,159.70 : 65,076.50 = 27,775.59 : x
  2. Step 2: Convert to fraction form
    47,159.70/65,076.50 = 27,775.59/x
  3. Step 3: Cross multiply
    47,159.70x = 65,076.50 × 27,775.59
  4. Step 4: Simplify right side
    47,159.70x = 1,807,537,718.37
  5. Step 5: Solve for x
    x = 1,807,537,718.37/47,159.70
  6. Step 6: Final answer
    x = 38,328.02

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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.