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Finding the Fourth Proportional to 30,533.93, 45,803.12 and 9,471.30

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Solution

The fourth proportional to 30,533.93, 45,803.12 and 9,471.30 is: 14,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533.93 : 45,803.12 = 9,471.30 : x
  2. Step 2: Convert to fraction form
    30,533.93/45,803.12 = 9,471.30/x
  3. Step 3: Cross multiply
    30,533.93x = 45,803.12 × 9,471.30
  4. Step 4: Simplify right side
    30,533.93x = 433,815,043.10
  5. Step 5: Solve for x
    x = 433,815,043.10/30,533.93
  6. Step 6: Final answer
    x = 14,207.64

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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.