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Finding the Fourth Proportional to 77,386.94, 116,068.44 and 31,799.27

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Solution

The fourth proportional to 77,386.94, 116,068.44 and 31,799.27 is: 47,693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,386.94 : 116,068.44 = 31,799.27 : x
  2. Step 2: Convert to fraction form
    77,386.94/116,068.44 = 31,799.27/x
  3. Step 3: Cross multiply
    77,386.94x = 116,068.44 × 31,799.27
  4. Step 4: Simplify right side
    77,386.94x = 3,690,891,418.57
  5. Step 5: Solve for x
    x = 3,690,891,418.57/77,386.94
  6. Step 6: Final answer
    x = 47,693.98

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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.