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Finding the Fourth Proportional to 73,710, 110,565 and 24,462

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Solution

The fourth proportional to 73,710, 110,565 and 24,462 is: 36,693

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,710 : 110,565 = 24,462 : x
  2. Step 2: Convert to fraction form
    73,710/110,565 = 24,462/x
  3. Step 3: Cross multiply
    73,710x = 110,565 × 24,462
  4. Step 4: Simplify right side
    73,710x = 2,704,641,030
  5. Step 5: Solve for x
    x = 2,704,641,030/73,710
  6. Step 6: Final answer
    x = 36,693

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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.