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Finding the Fourth Proportional to 98,602.60, 147,918.30 and 32,031.40

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Solution

The fourth proportional to 98,602.60, 147,918.30 and 32,031.40 is: 48,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,602.60 : 147,918.30 = 32,031.40 : x
  2. Step 2: Convert to fraction form
    98,602.60/147,918.30 = 32,031.40/x
  3. Step 3: Cross multiply
    98,602.60x = 147,918.30 × 32,031.40
  4. Step 4: Simplify right side
    98,602.60x = 4,738,030,234.62
  5. Step 5: Solve for x
    x = 4,738,030,234.62/98,602.60
  6. Step 6: Final answer
    x = 48,051.78

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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.