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Finding the Fourth Proportional to 98,596.24, 147,865.16 and 28,476.16

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Solution

The fourth proportional to 98,596.24, 147,865.16 and 28,476.16 is: 42,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,596.24 : 147,865.16 = 28,476.16 : x
  2. Step 2: Convert to fraction form
    98,596.24/147,865.16 = 28,476.16/x
  3. Step 3: Cross multiply
    98,596.24x = 147,865.16 × 28,476.16
  4. Step 4: Simplify right side
    98,596.24x = 4,210,631,954.59
  5. Step 5: Solve for x
    x = 4,210,631,954.59/98,596.24
  6. Step 6: Final answer
    x = 42,705.81

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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.