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Finding the Fourth Proportional to 76,111.82, 114,184.74 and 36,702.08

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Solution

The fourth proportional to 76,111.82, 114,184.74 and 36,702.08 is: 55,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,111.82 : 114,184.74 = 36,702.08 : x
  2. Step 2: Convert to fraction form
    76,111.82/114,184.74 = 36,702.08/x
  3. Step 3: Cross multiply
    76,111.82x = 114,184.74 × 36,702.08
  4. Step 4: Simplify right side
    76,111.82x = 4,190,817,462.26
  5. Step 5: Solve for x
    x = 4,190,817,462.26/76,111.82
  6. Step 6: Final answer
    x = 55,061.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.