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Finding the Fourth Proportional to 76,030.58, 114,077.77 and 33,881.63

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Solution

The fourth proportional to 76,030.58, 114,077.77 and 33,881.63 is: 50,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,030.58 : 114,077.77 = 33,881.63 : x
  2. Step 2: Convert to fraction form
    76,030.58/114,077.77 = 33,881.63/x
  3. Step 3: Cross multiply
    76,030.58x = 114,077.77 × 33,881.63
  4. Step 4: Simplify right side
    76,030.58x = 3,865,140,139.27
  5. Step 5: Solve for x
    x = 3,865,140,139.27/76,030.58
  6. Step 6: Final answer
    x = 50,836.65

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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.