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Finding the Fourth Proportional to 31,132.53, 46,698.80 and 7,758.99

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Solution

The fourth proportional to 31,132.53, 46,698.80 and 7,758.99 is: 11,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,132.53 : 46,698.80 = 7,758.99 : x
  2. Step 2: Convert to fraction form
    31,132.53/46,698.80 = 7,758.99/x
  3. Step 3: Cross multiply
    31,132.53x = 46,698.80 × 7,758.99
  4. Step 4: Simplify right side
    31,132.53x = 362,335,483.42
  5. Step 5: Solve for x
    x = 362,335,483.42/31,132.53
  6. Step 6: Final answer
    x = 11,638.49

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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.