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Finding the Fourth Proportional to 77,785.71, 116,702.78 and 27,866.23

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Solution

The fourth proportional to 77,785.71, 116,702.78 and 27,866.23 is: 41,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,785.71 : 116,702.78 = 27,866.23 : x
  2. Step 2: Convert to fraction form
    77,785.71/116,702.78 = 27,866.23/x
  3. Step 3: Cross multiply
    77,785.71x = 116,702.78 × 27,866.23
  4. Step 4: Simplify right side
    77,785.71x = 3,252,066,509.12
  5. Step 5: Solve for x
    x = 3,252,066,509.12/77,785.71
  6. Step 6: Final answer
    x = 41,808.02

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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.