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Finding the Fourth Proportional to 30,894.34, 46,345.12 and 11,182.18

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Solution

The fourth proportional to 30,894.34, 46,345.12 and 11,182.18 is: 16,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.34 : 46,345.12 = 11,182.18 : x
  2. Step 2: Convert to fraction form
    30,894.34/46,345.12 = 11,182.18/x
  3. Step 3: Cross multiply
    30,894.34x = 46,345.12 × 11,182.18
  4. Step 4: Simplify right side
    30,894.34x = 518,239,561.87
  5. Step 5: Solve for x
    x = 518,239,561.87/30,894.34
  6. Step 6: Final answer
    x = 16,774.58

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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.