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Finding the Fourth Proportional to 30,774.86, 46,160 and 9,715.62

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Solution

The fourth proportional to 30,774.86, 46,160 and 9,715.62 is: 14,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.86 : 46,160 = 9,715.62 : x
  2. Step 2: Convert to fraction form
    30,774.86/46,160 = 9,715.62/x
  3. Step 3: Cross multiply
    30,774.86x = 46,160 × 9,715.62
  4. Step 4: Simplify right side
    30,774.86x = 448,473,019.20
  5. Step 5: Solve for x
    x = 448,473,019.20/30,774.86
  6. Step 6: Final answer
    x = 14,572.71

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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.