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Finding the Fourth Proportional to 116,225.70, 174,338.55 and 31,985.70

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Solution

The fourth proportional to 116,225.70, 174,338.55 and 31,985.70 is: 47,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,225.70 : 174,338.55 = 31,985.70 : x
  2. Step 2: Convert to fraction form
    116,225.70/174,338.55 = 31,985.70/x
  3. Step 3: Cross multiply
    116,225.70x = 174,338.55 × 31,985.70
  4. Step 4: Simplify right side
    116,225.70x = 5,576,340,558.74
  5. Step 5: Solve for x
    x = 5,576,340,558.74/116,225.70
  6. Step 6: Final answer
    x = 47,978.55

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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.