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Finding the Fourth Proportional to 114,695.19, 172,042.77 and 35,816.16

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Solution

The fourth proportional to 114,695.19, 172,042.77 and 35,816.16 is: 53,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,695.19 : 172,042.77 = 35,816.16 : x
  2. Step 2: Convert to fraction form
    114,695.19/172,042.77 = 35,816.16/x
  3. Step 3: Cross multiply
    114,695.19x = 172,042.77 × 35,816.16
  4. Step 4: Simplify right side
    114,695.19x = 6,161,911,377.16
  5. Step 5: Solve for x
    x = 6,161,911,377.16/114,695.19
  6. Step 6: Final answer
    x = 53,724.24

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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.