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Finding the Fourth Proportional to 37,783.90, 56,689.80 and 15,599.20

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Solution

The fourth proportional to 37,783.90, 56,689.80 and 15,599.20 is: 23,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783.90 : 56,689.80 = 15,599.20 : x
  2. Step 2: Convert to fraction form
    37,783.90/56,689.80 = 15,599.20/x
  3. Step 3: Cross multiply
    37,783.90x = 56,689.80 × 15,599.20
  4. Step 4: Simplify right side
    37,783.90x = 884,315,528.16
  5. Step 5: Solve for x
    x = 884,315,528.16/37,783.90
  6. Step 6: Final answer
    x = 23,404.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.