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Finding the Fourth Proportional to 39,468.06, 54,465.74 and 22,473

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Solution

The fourth proportional to 39,468.06, 54,465.74 and 22,473 is: 31,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,468.06 : 54,465.74 = 22,473 : x
  2. Step 2: Convert to fraction form
    39,468.06/54,465.74 = 22,473/x
  3. Step 3: Cross multiply
    39,468.06x = 54,465.74 × 22,473
  4. Step 4: Simplify right side
    39,468.06x = 1,224,008,575.02
  5. Step 5: Solve for x
    x = 1,224,008,575.02/39,468.06
  6. Step 6: Final answer
    x = 31,012.64

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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.