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Finding the Fourth Proportional to 30,200.70, 45,301.05 and 19,703.10

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Solution

The fourth proportional to 30,200.70, 45,301.05 and 19,703.10 is: 29,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.70 : 45,301.05 = 19,703.10 : x
  2. Step 2: Convert to fraction form
    30,200.70/45,301.05 = 19,703.10/x
  3. Step 3: Cross multiply
    30,200.70x = 45,301.05 × 19,703.10
  4. Step 4: Simplify right side
    30,200.70x = 892,571,118.26
  5. Step 5: Solve for x
    x = 892,571,118.26/30,200.70
  6. Step 6: Final answer
    x = 29,554.65

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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.