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Finding the Fourth Proportional to 97,213.32, 145,819.98 and 23,341.32

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Solution

The fourth proportional to 97,213.32, 145,819.98 and 23,341.32 is: 35,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,213.32 : 145,819.98 = 23,341.32 : x
  2. Step 2: Convert to fraction form
    97,213.32/145,819.98 = 23,341.32/x
  3. Step 3: Cross multiply
    97,213.32x = 145,819.98 × 23,341.32
  4. Step 4: Simplify right side
    97,213.32x = 3,403,630,815.57
  5. Step 5: Solve for x
    x = 3,403,630,815.57/97,213.32
  6. Step 6: Final answer
    x = 35,011.98

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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.