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Finding the Fourth Proportional to 37,875.47, 52,268.13 and 20,880

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Solution

The fourth proportional to 37,875.47, 52,268.13 and 20,880 is: 28,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,875.47 : 52,268.13 = 20,880 : x
  2. Step 2: Convert to fraction form
    37,875.47/52,268.13 = 20,880/x
  3. Step 3: Cross multiply
    37,875.47x = 52,268.13 × 20,880
  4. Step 4: Simplify right side
    37,875.47x = 1,091,358,554.40
  5. Step 5: Solve for x
    x = 1,091,358,554.40/37,875.47
  6. Step 6: Final answer
    x = 28,814.39

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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.