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Finding the Fourth Proportional to 35,737.34, 49,315.32 and 19,821.47

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Solution

The fourth proportional to 35,737.34, 49,315.32 and 19,821.47 is: 27,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737.34 : 49,315.32 = 19,821.47 : x
  2. Step 2: Convert to fraction form
    35,737.34/49,315.32 = 19,821.47/x
  3. Step 3: Cross multiply
    35,737.34x = 49,315.32 × 19,821.47
  4. Step 4: Simplify right side
    35,737.34x = 977,501,889.34
  5. Step 5: Solve for x
    x = 977,501,889.34/35,737.34
  6. Step 6: Final answer
    x = 27,352.40

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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.