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Finding the Fourth Proportional to 76,564.50, 105,631.02 and 46,338.84

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Solution

The fourth proportional to 76,564.50, 105,631.02 and 46,338.84 is: 63,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,564.50 : 105,631.02 = 46,338.84 : x
  2. Step 2: Convert to fraction form
    76,564.50/105,631.02 = 46,338.84/x
  3. Step 3: Cross multiply
    76,564.50x = 105,631.02 × 46,338.84
  4. Step 4: Simplify right side
    76,564.50x = 4,894,818,934.82
  5. Step 5: Solve for x
    x = 4,894,818,934.82/76,564.50
  6. Step 6: Final answer
    x = 63,930.66

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