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Finding the Fourth Proportional to 30,886.65, 46,329.57 and 7,513.11

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Solution

The fourth proportional to 30,886.65, 46,329.57 and 7,513.11 is: 11,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.65 : 46,329.57 = 7,513.11 : x
  2. Step 2: Convert to fraction form
    30,886.65/46,329.57 = 7,513.11/x
  3. Step 3: Cross multiply
    30,886.65x = 46,329.57 × 7,513.11
  4. Step 4: Simplify right side
    30,886.65x = 348,079,155.66
  5. Step 5: Solve for x
    x = 348,079,155.66/30,886.65
  6. Step 6: Final answer
    x = 11,269.57

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Why These Related Problems?

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