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Finding the Fourth Proportional to 105,703.60, 158,554.32 and 35,582.44

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Solution

The fourth proportional to 105,703.60, 158,554.32 and 35,582.44 is: 53,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,703.60 : 158,554.32 = 35,582.44 : x
  2. Step 2: Convert to fraction form
    105,703.60/158,554.32 = 35,582.44/x
  3. Step 3: Cross multiply
    105,703.60x = 158,554.32 × 35,582.44
  4. Step 4: Simplify right side
    105,703.60x = 5,641,749,578.14
  5. Step 5: Solve for x
    x = 5,641,749,578.14/105,703.60
  6. Step 6: Final answer
    x = 53,373.30

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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.