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Finding the Fourth Proportional to 97,497.68, 146,246.52 and 35,168.16

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Solution

The fourth proportional to 97,497.68, 146,246.52 and 35,168.16 is: 52,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,497.68 : 146,246.52 = 35,168.16 : x
  2. Step 2: Convert to fraction form
    97,497.68/146,246.52 = 35,168.16/x
  3. Step 3: Cross multiply
    97,497.68x = 146,246.52 × 35,168.16
  4. Step 4: Simplify right side
    97,497.68x = 5,143,221,014.80
  5. Step 5: Solve for x
    x = 5,143,221,014.80/97,497.68
  6. Step 6: Final answer
    x = 52,752.24

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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.