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Finding the Fourth Proportional to 98,792.58, 148,193.64 and 32,232.64

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Solution

The fourth proportional to 98,792.58, 148,193.64 and 32,232.64 is: 48,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,792.58 : 148,193.64 = 32,232.64 : x
  2. Step 2: Convert to fraction form
    98,792.58/148,193.64 = 32,232.64/x
  3. Step 3: Cross multiply
    98,792.58x = 148,193.64 × 32,232.64
  4. Step 4: Simplify right side
    98,792.58x = 4,776,672,248.41
  5. Step 5: Solve for x
    x = 4,776,672,248.41/98,792.58
  6. Step 6: Final answer
    x = 48,350.52

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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.