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Finding the Fourth Proportional to 32,053.49, 48,038.34 and 23,198.63

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Solution

The fourth proportional to 32,053.49, 48,038.34 and 23,198.63 is: 34,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.49 : 48,038.34 = 23,198.63 : x
  2. Step 2: Convert to fraction form
    32,053.49/48,038.34 = 23,198.63/x
  3. Step 3: Cross multiply
    32,053.49x = 48,038.34 × 23,198.63
  4. Step 4: Simplify right side
    32,053.49x = 1,114,423,675.47
  5. Step 5: Solve for x
    x = 1,114,423,675.47/32,053.49
  6. Step 6: Final answer
    x = 34,767.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.