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Finding the Fourth Proportional to 102,881.06, 154,335.93 and 31,809.50

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Solution

The fourth proportional to 102,881.06, 154,335.93 and 31,809.50 is: 47,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,881.06 : 154,335.93 = 31,809.50 : x
  2. Step 2: Convert to fraction form
    102,881.06/154,335.93 = 31,809.50/x
  3. Step 3: Cross multiply
    102,881.06x = 154,335.93 × 31,809.50
  4. Step 4: Simplify right side
    102,881.06x = 4,909,348,765.34
  5. Step 5: Solve for x
    x = 4,909,348,765.34/102,881.06
  6. Step 6: Final answer
    x = 47,718.68

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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.