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Finding the Fourth Proportional to 76,663.94, 105,775 and 46,029.09

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Solution

The fourth proportional to 76,663.94, 105,775 and 46,029.09 is: 63,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,663.94 : 105,775 = 46,029.09 : x
  2. Step 2: Convert to fraction form
    76,663.94/105,775 = 46,029.09/x
  3. Step 3: Cross multiply
    76,663.94x = 105,775 × 46,029.09
  4. Step 4: Simplify right side
    76,663.94x = 4,868,726,994.75
  5. Step 5: Solve for x
    x = 4,868,726,994.75/76,663.94
  6. Step 6: Final answer
    x = 63,507.39

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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.