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Finding the Fourth Proportional to 55,942.14, 83,968.29 and 46,641.72

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Solution

The fourth proportional to 55,942.14, 83,968.29 and 46,641.72 is: 70,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,942.14 : 83,968.29 = 46,641.72 : x
  2. Step 2: Convert to fraction form
    55,942.14/83,968.29 = 46,641.72/x
  3. Step 3: Cross multiply
    55,942.14x = 83,968.29 × 46,641.72
  4. Step 4: Simplify right side
    55,942.14x = 3,916,425,471.06
  5. Step 5: Solve for x
    x = 3,916,425,471.06/55,942.14
  6. Step 6: Final answer
    x = 70,008.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.