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Finding the Fourth Proportional to 117,130.14, 175,700.13 and 34,024.14

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Solution

The fourth proportional to 117,130.14, 175,700.13 and 34,024.14 is: 51,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,130.14 : 175,700.13 = 34,024.14 : x
  2. Step 2: Convert to fraction form
    117,130.14/175,700.13 = 34,024.14/x
  3. Step 3: Cross multiply
    117,130.14x = 175,700.13 × 34,024.14
  4. Step 4: Simplify right side
    117,130.14x = 5,978,045,821.14
  5. Step 5: Solve for x
    x = 5,978,045,821.14/117,130.14
  6. Step 6: Final answer
    x = 51,037.64

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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.