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Finding the Fourth Proportional to 54,937.95, 82,406.93 and 19,869.41

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Solution

The fourth proportional to 54,937.95, 82,406.93 and 19,869.41 is: 29,804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,937.95 : 82,406.93 = 19,869.41 : x
  2. Step 2: Convert to fraction form
    54,937.95/82,406.93 = 19,869.41/x
  3. Step 3: Cross multiply
    54,937.95x = 82,406.93 × 19,869.41
  4. Step 4: Simplify right side
    54,937.95x = 1,637,376,567.63
  5. Step 5: Solve for x
    x = 1,637,376,567.63/54,937.95
  6. Step 6: Final answer
    x = 29,804.11

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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.