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Finding the Fourth Proportional to 48,642.18, 72,957.82 and 13,106.14

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Solution

The fourth proportional to 48,642.18, 72,957.82 and 13,106.14 is: 19,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642.18 : 72,957.82 = 13,106.14 : x
  2. Step 2: Convert to fraction form
    48,642.18/72,957.82 = 13,106.14/x
  3. Step 3: Cross multiply
    48,642.18x = 72,957.82 × 13,106.14
  4. Step 4: Simplify right side
    48,642.18x = 956,195,403.01
  5. Step 5: Solve for x
    x = 956,195,403.01/48,642.18
  6. Step 6: Final answer
    x = 19,657.74

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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.