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Finding the Fourth Proportional to 30,759.69, 46,117.67 and 14,730.87

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Solution

The fourth proportional to 30,759.69, 46,117.67 and 14,730.87 is: 22,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,759.69 : 46,117.67 = 14,730.87 : x
  2. Step 2: Convert to fraction form
    30,759.69/46,117.67 = 14,730.87/x
  3. Step 3: Cross multiply
    30,759.69x = 46,117.67 × 14,730.87
  4. Step 4: Simplify right side
    30,759.69x = 679,353,327.82
  5. Step 5: Solve for x
    x = 679,353,327.82/30,759.69
  6. Step 6: Final answer
    x = 22,085.83

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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.