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Finding the Fourth Proportional to 51,410.53, 70,925.65 and 33,499

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Solution

The fourth proportional to 51,410.53, 70,925.65 and 33,499 is: 46,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,410.53 : 70,925.65 = 33,499 : x
  2. Step 2: Convert to fraction form
    51,410.53/70,925.65 = 33,499/x
  3. Step 3: Cross multiply
    51,410.53x = 70,925.65 × 33,499
  4. Step 4: Simplify right side
    51,410.53x = 2,375,938,349.35
  5. Step 5: Solve for x
    x = 2,375,938,349.35/51,410.53
  6. Step 6: Final answer
    x = 46,215.01

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