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Finding the Fourth Proportional to 54,458.40, 75,143.76 and 34,038.05

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Solution

The fourth proportional to 54,458.40, 75,143.76 and 34,038.05 is: 46,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,458.40 : 75,143.76 = 34,038.05 : x
  2. Step 2: Convert to fraction form
    54,458.40/75,143.76 = 34,038.05/x
  3. Step 3: Cross multiply
    54,458.40x = 75,143.76 × 34,038.05
  4. Step 4: Simplify right side
    54,458.40x = 2,557,746,684.35
  5. Step 5: Solve for x
    x = 2,557,746,684.35/54,458.40
  6. Step 6: Final answer
    x = 46,966.99

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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.