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Finding the Fourth Proportional to 35,522.48, 49,038.75 and 22,098.06

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Solution

The fourth proportional to 35,522.48, 49,038.75 and 22,098.06 is: 30,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,522.48 : 49,038.75 = 22,098.06 : x
  2. Step 2: Convert to fraction form
    35,522.48/49,038.75 = 22,098.06/x
  3. Step 3: Cross multiply
    35,522.48x = 49,038.75 × 22,098.06
  4. Step 4: Simplify right side
    35,522.48x = 1,083,661,239.83
  5. Step 5: Solve for x
    x = 1,083,661,239.83/35,522.48
  6. Step 6: Final answer
    x = 30,506.35

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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.