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Finding the Fourth Proportional to 76,137.17, 114,130.41 and 36,085.76

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Solution

The fourth proportional to 76,137.17, 114,130.41 and 36,085.76 is: 54,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,137.17 : 114,130.41 = 36,085.76 : x
  2. Step 2: Convert to fraction form
    76,137.17/114,130.41 = 36,085.76/x
  3. Step 3: Cross multiply
    76,137.17x = 114,130.41 × 36,085.76
  4. Step 4: Simplify right side
    76,137.17x = 4,118,482,013.31
  5. Step 5: Solve for x
    x = 4,118,482,013.31/76,137.17
  6. Step 6: Final answer
    x = 54,092.93

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