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Finding the Fourth Proportional to 42,199.79, 63,268.16 and 25,555.77

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Solution

The fourth proportional to 42,199.79, 63,268.16 and 25,555.77 is: 38,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,199.79 : 63,268.16 = 25,555.77 : x
  2. Step 2: Convert to fraction form
    42,199.79/63,268.16 = 25,555.77/x
  3. Step 3: Cross multiply
    42,199.79x = 63,268.16 × 25,555.77
  4. Step 4: Simplify right side
    42,199.79x = 1,616,866,417.50
  5. Step 5: Solve for x
    x = 1,616,866,417.50/42,199.79
  6. Step 6: Final answer
    x = 38,314.57

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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.