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Finding the Fourth Proportional to 54,970.34, 75,859.08 and 31,096.50

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Solution

The fourth proportional to 54,970.34, 75,859.08 and 31,096.50 is: 42,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,970.34 : 75,859.08 = 31,096.50 : x
  2. Step 2: Convert to fraction form
    54,970.34/75,859.08 = 31,096.50/x
  3. Step 3: Cross multiply
    54,970.34x = 75,859.08 × 31,096.50
  4. Step 4: Simplify right side
    54,970.34x = 2,358,951,881.22
  5. Step 5: Solve for x
    x = 2,358,951,881.22/54,970.34
  6. Step 6: Final answer
    x = 42,913.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.