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Finding the Fourth Proportional to 102,459.94, 153,689.81 and 32,339.25

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Solution

The fourth proportional to 102,459.94, 153,689.81 and 32,339.25 is: 48,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,459.94 : 153,689.81 = 32,339.25 : x
  2. Step 2: Convert to fraction form
    102,459.94/153,689.81 = 32,339.25/x
  3. Step 3: Cross multiply
    102,459.94x = 153,689.81 × 32,339.25
  4. Step 4: Simplify right side
    102,459.94x = 4,970,213,026.35
  5. Step 5: Solve for x
    x = 4,970,213,026.35/102,459.94
  6. Step 6: Final answer
    x = 48,508.84

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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.