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Finding the Fourth Proportional to 54,315.64, 74,948.29 and 31,346.34

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Solution

The fourth proportional to 54,315.64, 74,948.29 and 31,346.34 is: 43,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,315.64 : 74,948.29 = 31,346.34 : x
  2. Step 2: Convert to fraction form
    54,315.64/74,948.29 = 31,346.34/x
  3. Step 3: Cross multiply
    54,315.64x = 74,948.29 × 31,346.34
  4. Step 4: Simplify right side
    54,315.64x = 2,349,354,580.76
  5. Step 5: Solve for x
    x = 2,349,354,580.76/54,315.64
  6. Step 6: Final answer
    x = 43,253.74

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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.