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Finding the Fourth Proportional to 76,477.95, 114,733.34 and 32,079.11

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Solution

The fourth proportional to 76,477.95, 114,733.34 and 32,079.11 is: 48,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,477.95 : 114,733.34 = 32,079.11 : x
  2. Step 2: Convert to fraction form
    76,477.95/114,733.34 = 32,079.11/x
  3. Step 3: Cross multiply
    76,477.95x = 114,733.34 × 32,079.11
  4. Step 4: Simplify right side
    76,477.95x = 3,680,543,434.53
  5. Step 5: Solve for x
    x = 3,680,543,434.53/76,477.95
  6. Step 6: Final answer
    x = 48,125.55

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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.