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Finding the Fourth Proportional to 37,870.81, 52,264.71 and 20,878.07

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Solution

The fourth proportional to 37,870.81, 52,264.71 and 20,878.07 is: 28,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,870.81 : 52,264.71 = 20,878.07 : x
  2. Step 2: Convert to fraction form
    37,870.81/52,264.71 = 20,878.07/x
  3. Step 3: Cross multiply
    37,870.81x = 52,264.71 × 20,878.07
  4. Step 4: Simplify right side
    37,870.81x = 1,091,186,012.59
  5. Step 5: Solve for x
    x = 1,091,186,012.59/37,870.81
  6. Step 6: Final answer
    x = 28,813.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.