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Finding the Fourth Proportional to 98,865.84, 148,317.84 and 32,288.07

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Solution

The fourth proportional to 98,865.84, 148,317.84 and 32,288.07 is: 48,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,865.84 : 148,317.84 = 32,288.07 : x
  2. Step 2: Convert to fraction form
    98,865.84/148,317.84 = 32,288.07/x
  3. Step 3: Cross multiply
    98,865.84x = 148,317.84 × 32,288.07
  4. Step 4: Simplify right side
    98,865.84x = 4,788,896,800.17
  5. Step 5: Solve for x
    x = 4,788,896,800.17/98,865.84
  6. Step 6: Final answer
    x = 48,438.34

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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.