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Finding the Fourth Proportional to 110,110.98, 165,130.93 and 31,204.02

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Solution

The fourth proportional to 110,110.98, 165,130.93 and 31,204.02 is: 46,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,110.98 : 165,130.93 = 31,204.02 : x
  2. Step 2: Convert to fraction form
    110,110.98/165,130.93 = 31,204.02/x
  3. Step 3: Cross multiply
    110,110.98x = 165,130.93 × 31,204.02
  4. Step 4: Simplify right side
    110,110.98x = 5,152,748,842.34
  5. Step 5: Solve for x
    x = 5,152,748,842.34/110,110.98
  6. Step 6: Final answer
    x = 46,795.96

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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.