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Finding the Fourth Proportional to 42,106.68, 63,146.34 and 14,019.19

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Solution

The fourth proportional to 42,106.68, 63,146.34 and 14,019.19 is: 21,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106.68 : 63,146.34 = 14,019.19 : x
  2. Step 2: Convert to fraction form
    42,106.68/63,146.34 = 14,019.19/x
  3. Step 3: Cross multiply
    42,106.68x = 63,146.34 × 14,019.19
  4. Step 4: Simplify right side
    42,106.68x = 885,260,538.26
  5. Step 5: Solve for x
    x = 885,260,538.26/42,106.68
  6. Step 6: Final answer
    x = 21,024.23

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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.