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Finding the Fourth Proportional to 51,097.79, 77,126.64 and 51,097.79

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Solution

The fourth proportional to 51,097.79, 77,126.64 and 51,097.79 is: 77,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,097.79 : 77,126.64 = 51,097.79 : x
  2. Step 2: Convert to fraction form
    51,097.79/77,126.64 = 51,097.79/x
  3. Step 3: Cross multiply
    51,097.79x = 77,126.64 × 51,097.79
  4. Step 4: Simplify right side
    51,097.79x = 3,941,001,069.54
  5. Step 5: Solve for x
    x = 3,941,001,069.54/51,097.79
  6. Step 6: Final answer
    x = 77,126.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.