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Finding the Fourth Proportional to 102,530.56, 153,797.12 and 32,416

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Solution

The fourth proportional to 102,530.56, 153,797.12 and 32,416 is: 48,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,530.56 : 153,797.12 = 32,416 : x
  2. Step 2: Convert to fraction form
    102,530.56/153,797.12 = 32,416/x
  3. Step 3: Cross multiply
    102,530.56x = 153,797.12 × 32,416
  4. Step 4: Simplify right side
    102,530.56x = 4,985,487,441.92
  5. Step 5: Solve for x
    x = 4,985,487,441.92/102,530.56
  6. Step 6: Final answer
    x = 48,624.40

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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.