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Finding the Fourth Proportional to 98,336, 147,491.44 and 31,769.22

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Solution

The fourth proportional to 98,336, 147,491.44 and 31,769.22 is: 47,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,336 : 147,491.44 = 31,769.22 : x
  2. Step 2: Convert to fraction form
    98,336/147,491.44 = 31,769.22/x
  3. Step 3: Cross multiply
    98,336x = 147,491.44 × 31,769.22
  4. Step 4: Simplify right side
    98,336x = 4,685,688,005.48
  5. Step 5: Solve for x
    x = 4,685,688,005.48/98,336
  6. Step 6: Final answer
    x = 47,649.77

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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.