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Finding the Fourth Proportional to 37,649.60, 51,959.52 and 20,888

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Solution

The fourth proportional to 37,649.60, 51,959.52 and 20,888 is: 28,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,649.60 : 51,959.52 = 20,888 : x
  2. Step 2: Convert to fraction form
    37,649.60/51,959.52 = 20,888/x
  3. Step 3: Cross multiply
    37,649.60x = 51,959.52 × 20,888
  4. Step 4: Simplify right side
    37,649.60x = 1,085,330,453.76
  5. Step 5: Solve for x
    x = 1,085,330,453.76/37,649.60
  6. Step 6: Final answer
    x = 28,827.14

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1.5x scale

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.