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Finding the Fourth Proportional to 98,898.54, 148,356.93 and 32,339.01

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Solution

The fourth proportional to 98,898.54, 148,356.93 and 32,339.01 is: 48,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,898.54 : 148,356.93 = 32,339.01 : x
  2. Step 2: Convert to fraction form
    98,898.54/148,356.93 = 32,339.01/x
  3. Step 3: Cross multiply
    98,898.54x = 148,356.93 × 32,339.01
  4. Step 4: Simplify right side
    98,898.54x = 4,797,716,242.84
  5. Step 5: Solve for x
    x = 4,797,716,242.84/98,898.54
  6. Step 6: Final answer
    x = 48,511.50

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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.