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Finding the Fourth Proportional to 98,929.60, 148,415.16 and 32,364.58

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Solution

The fourth proportional to 98,929.60, 148,415.16 and 32,364.58 is: 48,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,929.60 : 148,415.16 = 32,364.58 : x
  2. Step 2: Convert to fraction form
    98,929.60/148,415.16 = 32,364.58/x
  3. Step 3: Cross multiply
    98,929.60x = 148,415.16 × 32,364.58
  4. Step 4: Simplify right side
    98,929.60x = 4,803,394,319.03
  5. Step 5: Solve for x
    x = 4,803,394,319.03/98,929.60
  6. Step 6: Final answer
    x = 48,553.66

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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.