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Finding the Fourth Proportional to 48,102.18, 72,153.30 and 13,041.84

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Solution

The fourth proportional to 48,102.18, 72,153.30 and 13,041.84 is: 19,562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,102.18 : 72,153.30 = 13,041.84 : x
  2. Step 2: Convert to fraction form
    48,102.18/72,153.30 = 13,041.84/x
  3. Step 3: Cross multiply
    48,102.18x = 72,153.30 × 13,041.84
  4. Step 4: Simplify right side
    48,102.18x = 941,011,794.07
  5. Step 5: Solve for x
    x = 941,011,794.07/48,102.18
  6. Step 6: Final answer
    x = 19,562.77

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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.