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Finding the Fourth Proportional to 73,061, 100,824.18 and 39,527

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Solution

The fourth proportional to 73,061, 100,824.18 and 39,527 is: 54,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,061 : 100,824.18 = 39,527 : x
  2. Step 2: Convert to fraction form
    73,061/100,824.18 = 39,527/x
  3. Step 3: Cross multiply
    73,061x = 100,824.18 × 39,527
  4. Step 4: Simplify right side
    73,061x = 3,985,277,362.86
  5. Step 5: Solve for x
    x = 3,985,277,362.86/73,061
  6. Step 6: Final answer
    x = 54,547.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.