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Finding the Fourth Proportional to 37,354.50, 51,549.75 and 20,587.50

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Solution

The fourth proportional to 37,354.50, 51,549.75 and 20,587.50 is: 28,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,354.50 : 51,549.75 = 20,587.50 : x
  2. Step 2: Convert to fraction form
    37,354.50/51,549.75 = 20,587.50/x
  3. Step 3: Cross multiply
    37,354.50x = 51,549.75 × 20,587.50
  4. Step 4: Simplify right side
    37,354.50x = 1,061,280,478.13
  5. Step 5: Solve for x
    x = 1,061,280,478.13/37,354.50
  6. Step 6: Final answer
    x = 28,411.05

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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.