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Finding the Fourth Proportional to 37,407, 51,622.74 and 20,641.08

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Solution

The fourth proportional to 37,407, 51,622.74 and 20,641.08 is: 28,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,407 : 51,622.74 = 20,641.08 : x
  2. Step 2: Convert to fraction form
    37,407/51,622.74 = 20,641.08/x
  3. Step 3: Cross multiply
    37,407x = 51,622.74 × 20,641.08
  4. Step 4: Simplify right side
    37,407x = 1,065,549,106.16
  5. Step 5: Solve for x
    x = 1,065,549,106.16/37,407
  6. Step 6: Final answer
    x = 28,485.29

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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.