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Finding the Fourth Proportional to 98,415.64, 147,532.62 and 39,237

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Solution

The fourth proportional to 98,415.64, 147,532.62 and 39,237 is: 58,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,415.64 : 147,532.62 = 39,237 : x
  2. Step 2: Convert to fraction form
    98,415.64/147,532.62 = 39,237/x
  3. Step 3: Cross multiply
    98,415.64x = 147,532.62 × 39,237
  4. Step 4: Simplify right side
    98,415.64x = 5,788,737,410.94
  5. Step 5: Solve for x
    x = 5,788,737,410.94/98,415.64
  6. Step 6: Final answer
    x = 58,819.28

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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.