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Finding the Fourth Proportional to 97,648.05, 146,472.12 and 35,303.97

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Solution

The fourth proportional to 97,648.05, 146,472.12 and 35,303.97 is: 52,955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,648.05 : 146,472.12 = 35,303.97 : x
  2. Step 2: Convert to fraction form
    97,648.05/146,472.12 = 35,303.97/x
  3. Step 3: Cross multiply
    97,648.05x = 146,472.12 × 35,303.97
  4. Step 4: Simplify right side
    97,648.05x = 5,171,047,330.32
  5. Step 5: Solve for x
    x = 5,171,047,330.32/97,648.05
  6. Step 6: Final answer
    x = 52,955.97

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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.