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Finding the Fourth Proportional to 39,681.72, 54,752.22 and 22,905

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Solution

The fourth proportional to 39,681.72, 54,752.22 and 22,905 is: 31,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,681.72 : 54,752.22 = 22,905 : x
  2. Step 2: Convert to fraction form
    39,681.72/54,752.22 = 22,905/x
  3. Step 3: Cross multiply
    39,681.72x = 54,752.22 × 22,905
  4. Step 4: Simplify right side
    39,681.72x = 1,254,099,599.10
  5. Step 5: Solve for x
    x = 1,254,099,599.10/39,681.72
  6. Step 6: Final answer
    x = 31,603.96

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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.