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Finding the Fourth Proportional to 98,916.76, 148,393.40 and 32,360.41

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Solution

The fourth proportional to 98,916.76, 148,393.40 and 32,360.41 is: 48,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,916.76 : 148,393.40 = 32,360.41 : x
  2. Step 2: Convert to fraction form
    98,916.76/148,393.40 = 32,360.41/x
  3. Step 3: Cross multiply
    98,916.76x = 148,393.40 × 32,360.41
  4. Step 4: Simplify right side
    98,916.76x = 4,802,071,265.29
  5. Step 5: Solve for x
    x = 4,802,071,265.29/98,916.76
  6. Step 6: Final answer
    x = 48,546.59

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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.