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Finding the Fourth Proportional to 109,809.86, 164,714.80 and 26,703.14

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Solution

The fourth proportional to 109,809.86, 164,714.80 and 26,703.14 is: 40,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,809.86 : 164,714.80 = 26,703.14 : x
  2. Step 2: Convert to fraction form
    109,809.86/164,714.80 = 26,703.14/x
  3. Step 3: Cross multiply
    109,809.86x = 164,714.80 × 26,703.14
  4. Step 4: Simplify right side
    109,809.86x = 4,398,402,364.47
  5. Step 5: Solve for x
    x = 4,398,402,364.47/109,809.86
  6. Step 6: Final answer
    x = 40,054.71

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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.