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Finding the Fourth Proportional to 76,598.84, 114,898.32 and 24,012.48

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Solution

The fourth proportional to 76,598.84, 114,898.32 and 24,012.48 is: 36,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,598.84 : 114,898.32 = 24,012.48 : x
  2. Step 2: Convert to fraction form
    76,598.84/114,898.32 = 24,012.48/x
  3. Step 3: Cross multiply
    76,598.84x = 114,898.32 × 24,012.48
  4. Step 4: Simplify right side
    76,598.84x = 2,758,993,611.03
  5. Step 5: Solve for x
    x = 2,758,993,611.03/76,598.84
  6. Step 6: Final answer
    x = 36,018.74

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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.