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Finding the Fourth Proportional to 110,042.48, 165,063.72 and 31,157.40

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Solution

The fourth proportional to 110,042.48, 165,063.72 and 31,157.40 is: 46,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,042.48 : 165,063.72 = 31,157.40 : x
  2. Step 2: Convert to fraction form
    110,042.48/165,063.72 = 31,157.40/x
  3. Step 3: Cross multiply
    110,042.48x = 165,063.72 × 31,157.40
  4. Step 4: Simplify right side
    110,042.48x = 5,142,956,349.53
  5. Step 5: Solve for x
    x = 5,142,956,349.53/110,042.48
  6. Step 6: Final answer
    x = 46,736.10

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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.