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Finding the Fourth Proportional to 114,802.56, 172,203.88 and 35,917.10

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Solution

The fourth proportional to 114,802.56, 172,203.88 and 35,917.10 is: 53,875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,802.56 : 172,203.88 = 35,917.10 : x
  2. Step 2: Convert to fraction form
    114,802.56/172,203.88 = 35,917.10/x
  3. Step 3: Cross multiply
    114,802.56x = 172,203.88 × 35,917.10
  4. Step 4: Simplify right side
    114,802.56x = 6,185,063,978.35
  5. Step 5: Solve for x
    x = 6,185,063,978.35/114,802.56
  6. Step 6: Final answer
    x = 53,875.66

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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.