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Finding the Fourth Proportional to 76,488.95, 105,557.10 and 46,279.82

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Solution

The fourth proportional to 76,488.95, 105,557.10 and 46,279.82 is: 63,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,488.95 : 105,557.10 = 46,279.82 : x
  2. Step 2: Convert to fraction form
    76,488.95/105,557.10 = 46,279.82/x
  3. Step 3: Cross multiply
    76,488.95x = 105,557.10 × 46,279.82
  4. Step 4: Simplify right side
    76,488.95x = 4,885,163,587.72
  5. Step 5: Solve for x
    x = 4,885,163,587.72/76,488.95
  6. Step 6: Final answer
    x = 63,867.57

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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.