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Finding the Fourth Proportional to 30,492.16, 45,744 and 12,961.92

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Solution

The fourth proportional to 30,492.16, 45,744 and 12,961.92 is: 19,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.16 : 45,744 = 12,961.92 : x
  2. Step 2: Convert to fraction form
    30,492.16/45,744 = 12,961.92/x
  3. Step 3: Cross multiply
    30,492.16x = 45,744 × 12,961.92
  4. Step 4: Simplify right side
    30,492.16x = 592,930,068.48
  5. Step 5: Solve for x
    x = 592,930,068.48/30,492.16
  6. Step 6: Final answer
    x = 19,445.33

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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.