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Finding the Fourth Proportional to 30,005.20, 45,007.80 and 24,464.80

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Solution

The fourth proportional to 30,005.20, 45,007.80 and 24,464.80 is: 36,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.20 : 45,007.80 = 24,464.80 : x
  2. Step 2: Convert to fraction form
    30,005.20/45,007.80 = 24,464.80/x
  3. Step 3: Cross multiply
    30,005.20x = 45,007.80 × 24,464.80
  4. Step 4: Simplify right side
    30,005.20x = 1,101,106,825.44
  5. Step 5: Solve for x
    x = 1,101,106,825.44/30,005.20
  6. Step 6: Final answer
    x = 36,697.20

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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.