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Finding the Fourth Proportional to 30,635.76, 45,968.22 and 13,987.20

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Solution

The fourth proportional to 30,635.76, 45,968.22 and 13,987.20 is: 20,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,635.76 : 45,968.22 = 13,987.20 : x
  2. Step 2: Convert to fraction form
    30,635.76/45,968.22 = 13,987.20/x
  3. Step 3: Cross multiply
    30,635.76x = 45,968.22 × 13,987.20
  4. Step 4: Simplify right side
    30,635.76x = 642,966,686.78
  5. Step 5: Solve for x
    x = 642,966,686.78/30,635.76
  6. Step 6: Final answer
    x = 20,987.46

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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.