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Finding the Fourth Proportional to 98,518.89, 147,799.11 and 31,953.84

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Solution

The fourth proportional to 98,518.89, 147,799.11 and 31,953.84 is: 47,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,518.89 : 147,799.11 = 31,953.84 : x
  2. Step 2: Convert to fraction form
    98,518.89/147,799.11 = 31,953.84/x
  3. Step 3: Cross multiply
    98,518.89x = 147,799.11 × 31,953.84
  4. Step 4: Simplify right side
    98,518.89x = 4,722,748,953.31
  5. Step 5: Solve for x
    x = 4,722,748,953.31/98,518.89
  6. Step 6: Final answer
    x = 47,937.50

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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.