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Finding the Fourth Proportional to 42,053.93, 62,990.44 and 19,834.01

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Solution

The fourth proportional to 42,053.93, 62,990.44 and 19,834.01 is: 29,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,053.93 : 62,990.44 = 19,834.01 : x
  2. Step 2: Convert to fraction form
    42,053.93/62,990.44 = 19,834.01/x
  3. Step 3: Cross multiply
    42,053.93x = 62,990.44 × 19,834.01
  4. Step 4: Simplify right side
    42,053.93x = 1,249,352,888.54
  5. Step 5: Solve for x
    x = 1,249,352,888.54/42,053.93
  6. Step 6: Final answer
    x = 29,708.35

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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.