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Finding the Fourth Proportional to 30,710, 46,065 and 8,822

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Solution

The fourth proportional to 30,710, 46,065 and 8,822 is: 13,233

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710 : 46,065 = 8,822 : x
  2. Step 2: Convert to fraction form
    30,710/46,065 = 8,822/x
  3. Step 3: Cross multiply
    30,710x = 46,065 × 8,822
  4. Step 4: Simplify right side
    30,710x = 406,385,430
  5. Step 5: Solve for x
    x = 406,385,430/30,710
  6. Step 6: Final answer
    x = 13,233

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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.