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Finding the Fourth Proportional to 116,077.66, 174,116.53 and 31,838.70

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Solution

The fourth proportional to 116,077.66, 174,116.53 and 31,838.70 is: 47,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,077.66 : 174,116.53 = 31,838.70 : x
  2. Step 2: Convert to fraction form
    116,077.66/174,116.53 = 31,838.70/x
  3. Step 3: Cross multiply
    116,077.66x = 174,116.53 × 31,838.70
  4. Step 4: Simplify right side
    116,077.66x = 5,543,643,963.71
  5. Step 5: Solve for x
    x = 5,543,643,963.71/116,077.66
  6. Step 6: Final answer
    x = 47,758.06

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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.