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Finding the Fourth Proportional to 110,102.49, 165,159.99 and 31,210.50

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Solution

The fourth proportional to 110,102.49, 165,159.99 and 31,210.50 is: 46,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,102.49 : 165,159.99 = 31,210.50 : x
  2. Step 2: Convert to fraction form
    110,102.49/165,159.99 = 31,210.50/x
  3. Step 3: Cross multiply
    110,102.49x = 165,159.99 × 31,210.50
  4. Step 4: Simplify right side
    110,102.49x = 5,154,725,867.90
  5. Step 5: Solve for x
    x = 5,154,725,867.90/110,102.49
  6. Step 6: Final answer
    x = 46,817.52

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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.