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Finding the Fourth Proportional to 77,311.40, 115,967.10 and 46,207.40

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Solution

The fourth proportional to 77,311.40, 115,967.10 and 46,207.40 is: 69,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,311.40 : 115,967.10 = 46,207.40 : x
  2. Step 2: Convert to fraction form
    77,311.40/115,967.10 = 46,207.40/x
  3. Step 3: Cross multiply
    77,311.40x = 115,967.10 × 46,207.40
  4. Step 4: Simplify right side
    77,311.40x = 5,358,538,176.54
  5. Step 5: Solve for x
    x = 5,358,538,176.54/77,311.40
  6. Step 6: Final answer
    x = 69,311.10

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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.