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Finding the Fourth Proportional to 42,111, 63,145.35 and 14,021.13

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Solution

The fourth proportional to 42,111, 63,145.35 and 14,021.13 is: 21,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,111 : 63,145.35 = 14,021.13 : x
  2. Step 2: Convert to fraction form
    42,111/63,145.35 = 14,021.13/x
  3. Step 3: Cross multiply
    42,111x = 63,145.35 × 14,021.13
  4. Step 4: Simplify right side
    42,111x = 885,369,161.25
  5. Step 5: Solve for x
    x = 885,369,161.25/42,111
  6. Step 6: Final answer
    x = 21,024.65

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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.