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Finding the Fourth Proportional to 102,166.64, 153,263.35 and 33,755.47

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Solution

The fourth proportional to 102,166.64, 153,263.35 and 33,755.47 is: 50,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,166.64 : 153,263.35 = 33,755.47 : x
  2. Step 2: Convert to fraction form
    102,166.64/153,263.35 = 33,755.47/x
  3. Step 3: Cross multiply
    102,166.64x = 153,263.35 × 33,755.47
  4. Step 4: Simplify right side
    102,166.64x = 5,173,475,646.71
  5. Step 5: Solve for x
    x = 5,173,475,646.71/102,166.64
  6. Step 6: Final answer
    x = 50,637.62

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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.