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Finding the Fourth Proportional to 105,602.68, 158,427.66 and 35,480.08

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Solution

The fourth proportional to 105,602.68, 158,427.66 and 35,480.08 is: 53,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,602.68 : 158,427.66 = 35,480.08 : x
  2. Step 2: Convert to fraction form
    105,602.68/158,427.66 = 35,480.08/x
  3. Step 3: Cross multiply
    105,602.68x = 158,427.66 × 35,480.08
  4. Step 4: Simplify right side
    105,602.68x = 5,621,026,051.01
  5. Step 5: Solve for x
    x = 5,621,026,051.01/105,602.68
  6. Step 6: Final answer
    x = 53,228.06

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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.