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Finding the Fourth Proportional to 66,476.16, 99,685.01 and 24,894

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Solution

The fourth proportional to 66,476.16, 99,685.01 and 24,894 is: 37,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,476.16 : 99,685.01 = 24,894 : x
  2. Step 2: Convert to fraction form
    66,476.16/99,685.01 = 24,894/x
  3. Step 3: Cross multiply
    66,476.16x = 99,685.01 × 24,894
  4. Step 4: Simplify right side
    66,476.16x = 2,481,558,701.18
  5. Step 5: Solve for x
    x = 2,481,558,701.18/66,476.16
  6. Step 6: Final answer
    x = 37,330.05

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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.