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Finding the Fourth Proportional to 116,053.62, 174,080.53 and 31,814.70

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Solution

The fourth proportional to 116,053.62, 174,080.53 and 31,814.70 is: 47,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,053.62 : 174,080.53 = 31,814.70 : x
  2. Step 2: Convert to fraction form
    116,053.62/174,080.53 = 31,814.70/x
  3. Step 3: Cross multiply
    116,053.62x = 174,080.53 × 31,814.70
  4. Step 4: Simplify right side
    116,053.62x = 5,538,319,837.79
  5. Step 5: Solve for x
    x = 5,538,319,837.79/116,053.62
  6. Step 6: Final answer
    x = 47,722.08

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1.5x scale

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.