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Finding the Fourth Proportional to 102,529.80, 153,816.30 and 32,416.20

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Solution

The fourth proportional to 102,529.80, 153,816.30 and 32,416.20 is: 48,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,529.80 : 153,816.30 = 32,416.20 : x
  2. Step 2: Convert to fraction form
    102,529.80/153,816.30 = 32,416.20/x
  3. Step 3: Cross multiply
    102,529.80x = 153,816.30 × 32,416.20
  4. Step 4: Simplify right side
    102,529.80x = 4,986,139,944.06
  5. Step 5: Solve for x
    x = 4,986,139,944.06/102,529.80
  6. Step 6: Final answer
    x = 48,631.13

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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.