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Finding the Fourth Proportional to 102,416.22, 153,624.33 and 32,301

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Solution

The fourth proportional to 102,416.22, 153,624.33 and 32,301 is: 48,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,416.22 : 153,624.33 = 32,301 : x
  2. Step 2: Convert to fraction form
    102,416.22/153,624.33 = 32,301/x
  3. Step 3: Cross multiply
    102,416.22x = 153,624.33 × 32,301
  4. Step 4: Simplify right side
    102,416.22x = 4,962,219,483.33
  5. Step 5: Solve for x
    x = 4,962,219,483.33/102,416.22
  6. Step 6: Final answer
    x = 48,451.50

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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.