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Finding the Fourth Proportional to 48,215.20, 72,322.80 and 29,783.20

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Solution

The fourth proportional to 48,215.20, 72,322.80 and 29,783.20 is: 44,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,215.20 : 72,322.80 = 29,783.20 : x
  2. Step 2: Convert to fraction form
    48,215.20/72,322.80 = 29,783.20/x
  3. Step 3: Cross multiply
    48,215.20x = 72,322.80 × 29,783.20
  4. Step 4: Simplify right side
    48,215.20x = 2,154,004,416.96
  5. Step 5: Solve for x
    x = 2,154,004,416.96/48,215.20
  6. Step 6: Final answer
    x = 44,674.80

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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.