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Finding the Fourth Proportional to 97,774.98, 134,930.79 and 57,488.82

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Solution

The fourth proportional to 97,774.98, 134,930.79 and 57,488.82 is: 79,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,774.98 : 134,930.79 = 57,488.82 : x
  2. Step 2: Convert to fraction form
    97,774.98/134,930.79 = 57,488.82/x
  3. Step 3: Cross multiply
    97,774.98x = 134,930.79 × 57,488.82
  4. Step 4: Simplify right side
    97,774.98x = 7,757,011,898.77
  5. Step 5: Solve for x
    x = 7,757,011,898.77/97,774.98
  6. Step 6: Final answer
    x = 79,335.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.