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Finding the Fourth Proportional to 105,622.70, 158,458.05 and 35,509.10

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Solution

The fourth proportional to 105,622.70, 158,458.05 and 35,509.10 is: 53,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,622.70 : 158,458.05 = 35,509.10 : x
  2. Step 2: Convert to fraction form
    105,622.70/158,458.05 = 35,509.10/x
  3. Step 3: Cross multiply
    105,622.70x = 158,458.05 × 35,509.10
  4. Step 4: Simplify right side
    105,622.70x = 5,626,702,743.26
  5. Step 5: Solve for x
    x = 5,626,702,743.26/105,622.70
  6. Step 6: Final answer
    x = 53,271.72

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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.