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Finding the Fourth Proportional to 35,534.48, 49,005.92 and 22,946

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Solution

The fourth proportional to 35,534.48, 49,005.92 and 22,946 is: 31,645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,534.48 : 49,005.92 = 22,946 : x
  2. Step 2: Convert to fraction form
    35,534.48/49,005.92 = 22,946/x
  3. Step 3: Cross multiply
    35,534.48x = 49,005.92 × 22,946
  4. Step 4: Simplify right side
    35,534.48x = 1,124,489,840.32
  5. Step 5: Solve for x
    x = 1,124,489,840.32/35,534.48
  6. Step 6: Final answer
    x = 31,645.03

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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.