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Finding the Fourth Proportional to 30,599.60, 45,899.40 and 9,825.20

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Solution

The fourth proportional to 30,599.60, 45,899.40 and 9,825.20 is: 14,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,599.60 : 45,899.40 = 9,825.20 : x
  2. Step 2: Convert to fraction form
    30,599.60/45,899.40 = 9,825.20/x
  3. Step 3: Cross multiply
    30,599.60x = 45,899.40 × 9,825.20
  4. Step 4: Simplify right side
    30,599.60x = 450,970,784.88
  5. Step 5: Solve for x
    x = 450,970,784.88/30,599.60
  6. Step 6: Final answer
    x = 14,737.80

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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.