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Finding the Fourth Proportional to 48,193.98, 72,295.29 and 13,133.82

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Solution

The fourth proportional to 48,193.98, 72,295.29 and 13,133.82 is: 19,701.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,193.98 : 72,295.29 = 13,133.82 : x
  2. Step 2: Convert to fraction form
    48,193.98/72,295.29 = 13,133.82/x
  3. Step 3: Cross multiply
    48,193.98x = 72,295.29 × 13,133.82
  4. Step 4: Simplify right side
    48,193.98x = 949,513,325.71
  5. Step 5: Solve for x
    x = 949,513,325.71/48,193.98
  6. Step 6: Final answer
    x = 19,701.91

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Why These Related Problems?

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