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Finding the Fourth Proportional to 30,533.83, 45,803.63 and 9,474.10

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Solution

The fourth proportional to 30,533.83, 45,803.63 and 9,474.10 is: 14,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533.83 : 45,803.63 = 9,474.10 : x
  2. Step 2: Convert to fraction form
    30,533.83/45,803.63 = 9,474.10/x
  3. Step 3: Cross multiply
    30,533.83x = 45,803.63 × 9,474.10
  4. Step 4: Simplify right side
    30,533.83x = 433,948,080.16
  5. Step 5: Solve for x
    x = 433,948,080.16/30,533.83
  6. Step 6: Final answer
    x = 14,212.04

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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.