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Finding the Fourth Proportional to 46,971.84, 70,392 and 33,762.24

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Solution

The fourth proportional to 46,971.84, 70,392 and 33,762.24 is: 50,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,971.84 : 70,392 = 33,762.24 : x
  2. Step 2: Convert to fraction form
    46,971.84/70,392 = 33,762.24/x
  3. Step 3: Cross multiply
    46,971.84x = 70,392 × 33,762.24
  4. Step 4: Simplify right side
    46,971.84x = 2,376,591,598.08
  5. Step 5: Solve for x
    x = 2,376,591,598.08/46,971.84
  6. Step 6: Final answer
    x = 50,596.09

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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.