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Finding the Fourth Proportional to 81,050.52, 111,868.38 and 47,527.32

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Solution

The fourth proportional to 81,050.52, 111,868.38 and 47,527.32 is: 65,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,050.52 : 111,868.38 = 47,527.32 : x
  2. Step 2: Convert to fraction form
    81,050.52/111,868.38 = 47,527.32/x
  3. Step 3: Cross multiply
    81,050.52x = 111,868.38 × 47,527.32
  4. Step 4: Simplify right side
    81,050.52x = 5,316,804,294.14
  5. Step 5: Solve for x
    x = 5,316,804,294.14/81,050.52
  6. Step 6: Final answer
    x = 65,598.65

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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.