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Finding the Fourth Proportional to 97,022.40, 145,514.40 and 47,102.40

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Solution

The fourth proportional to 97,022.40, 145,514.40 and 47,102.40 is: 70,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,022.40 : 145,514.40 = 47,102.40 : x
  2. Step 2: Convert to fraction form
    97,022.40/145,514.40 = 47,102.40/x
  3. Step 3: Cross multiply
    97,022.40x = 145,514.40 × 47,102.40
  4. Step 4: Simplify right side
    97,022.40x = 6,854,077,474.56
  5. Step 5: Solve for x
    x = 6,854,077,474.56/97,022.40
  6. Step 6: Final answer
    x = 70,644.28

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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.