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Finding the Fourth Proportional to 114,689.94, 172,034.90 and 35,810.92

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Solution

The fourth proportional to 114,689.94, 172,034.90 and 35,810.92 is: 53,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,689.94 : 172,034.90 = 35,810.92 : x
  2. Step 2: Convert to fraction form
    114,689.94/172,034.90 = 35,810.92/x
  3. Step 3: Cross multiply
    114,689.94x = 172,034.90 × 35,810.92
  4. Step 4: Simplify right side
    114,689.94x = 6,160,728,041.11
  5. Step 5: Solve for x
    x = 6,160,728,041.11/114,689.94
  6. Step 6: Final answer
    x = 53,716.38

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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.