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Finding the Fourth Proportional to 51,929.40, 77,894.06 and 12,486.50

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Solution

The fourth proportional to 51,929.40, 77,894.06 and 12,486.50 is: 18,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,929.40 : 77,894.06 = 12,486.50 : x
  2. Step 2: Convert to fraction form
    51,929.40/77,894.06 = 12,486.50/x
  3. Step 3: Cross multiply
    51,929.40x = 77,894.06 × 12,486.50
  4. Step 4: Simplify right side
    51,929.40x = 972,623,728.29
  5. Step 5: Solve for x
    x = 972,623,728.29/51,929.40
  6. Step 6: Final answer
    x = 18,729.73

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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.