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Finding the Fourth Proportional to 46,967.84, 70,386 and 33,758.24

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Solution

The fourth proportional to 46,967.84, 70,386 and 33,758.24 is: 50,590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,967.84 : 70,386 = 33,758.24 : x
  2. Step 2: Convert to fraction form
    46,967.84/70,386 = 33,758.24/x
  3. Step 3: Cross multiply
    46,967.84x = 70,386 × 33,758.24
  4. Step 4: Simplify right side
    46,967.84x = 2,376,107,480.64
  5. Step 5: Solve for x
    x = 2,376,107,480.64/46,967.84
  6. Step 6: Final answer
    x = 50,590.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.