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Finding the Fourth Proportional to 30,596.42, 45,889.16 and 19,470.08

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Solution

The fourth proportional to 30,596.42, 45,889.16 and 19,470.08 is: 29,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.42 : 45,889.16 = 19,470.08 : x
  2. Step 2: Convert to fraction form
    30,596.42/45,889.16 = 19,470.08/x
  3. Step 3: Cross multiply
    30,596.42x = 45,889.16 × 19,470.08
  4. Step 4: Simplify right side
    30,596.42x = 893,465,616.33
  5. Step 5: Solve for x
    x = 893,465,616.33/30,596.42
  6. Step 6: Final answer
    x = 29,201.64

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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.