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Finding the Fourth Proportional to 106,668.55, 160,045.80 and 47,463.58

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Solution

The fourth proportional to 106,668.55, 160,045.80 and 47,463.58 is: 71,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,668.55 : 160,045.80 = 47,463.58 : x
  2. Step 2: Convert to fraction form
    106,668.55/160,045.80 = 47,463.58/x
  3. Step 3: Cross multiply
    106,668.55x = 160,045.80 × 47,463.58
  4. Step 4: Simplify right side
    106,668.55x = 7,596,346,631.96
  5. Step 5: Solve for x
    x = 7,596,346,631.96/106,668.55
  6. Step 6: Final answer
    x = 71,214.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.