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Finding the Fourth Proportional to 102,649.58, 153,979.84 and 32,534.36

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Solution

The fourth proportional to 102,649.58, 153,979.84 and 32,534.36 is: 48,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,649.58 : 153,979.84 = 32,534.36 : x
  2. Step 2: Convert to fraction form
    102,649.58/153,979.84 = 32,534.36/x
  3. Step 3: Cross multiply
    102,649.58x = 153,979.84 × 32,534.36
  4. Step 4: Simplify right side
    102,649.58x = 5,009,635,212.49
  5. Step 5: Solve for x
    x = 5,009,635,212.49/102,649.58
  6. Step 6: Final answer
    x = 48,803.27

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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.