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Finding the Fourth Proportional to 77,097.36, 115,567.26 and 43,746.98

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Solution

The fourth proportional to 77,097.36, 115,567.26 and 43,746.98 is: 65,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,097.36 : 115,567.26 = 43,746.98 : x
  2. Step 2: Convert to fraction form
    77,097.36/115,567.26 = 43,746.98/x
  3. Step 3: Cross multiply
    77,097.36x = 115,567.26 × 43,746.98
  4. Step 4: Simplify right side
    77,097.36x = 5,055,718,034.04
  5. Step 5: Solve for x
    x = 5,055,718,034.04/77,097.36
  6. Step 6: Final answer
    x = 65,575.76

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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.