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Finding the Fourth Proportional to 102,477.86, 153,717.70 and 35,917.88

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Solution

The fourth proportional to 102,477.86, 153,717.70 and 35,917.88 is: 53,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,477.86 : 153,717.70 = 35,917.88 : x
  2. Step 2: Convert to fraction form
    102,477.86/153,717.70 = 35,917.88/x
  3. Step 3: Cross multiply
    102,477.86x = 153,717.70 × 35,917.88
  4. Step 4: Simplify right side
    102,477.86x = 5,521,213,976.10
  5. Step 5: Solve for x
    x = 5,521,213,976.10/102,477.86
  6. Step 6: Final answer
    x = 53,877.14

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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.