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Finding the Fourth Proportional to 76,567.71, 105,658.23 and 46,369.80

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Solution

The fourth proportional to 76,567.71, 105,658.23 and 46,369.80 is: 63,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,567.71 : 105,658.23 = 46,369.80 : x
  2. Step 2: Convert to fraction form
    76,567.71/105,658.23 = 46,369.80/x
  3. Step 3: Cross multiply
    76,567.71x = 105,658.23 × 46,369.80
  4. Step 4: Simplify right side
    76,567.71x = 4,899,350,993.45
  5. Step 5: Solve for x
    x = 4,899,350,993.45/76,567.71
  6. Step 6: Final answer
    x = 63,987.17

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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.