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Finding the Fourth Proportional to 98,463.63, 147,688.25 and 38,480.84

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Solution

The fourth proportional to 98,463.63, 147,688.25 and 38,480.84 is: 57,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,463.63 : 147,688.25 = 38,480.84 : x
  2. Step 2: Convert to fraction form
    98,463.63/147,688.25 = 38,480.84/x
  3. Step 3: Cross multiply
    98,463.63x = 147,688.25 × 38,480.84
  4. Step 4: Simplify right side
    98,463.63x = 5,683,166,987.28
  5. Step 5: Solve for x
    x = 5,683,166,987.28/98,463.63
  6. Step 6: Final answer
    x = 57,718.44

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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.