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Finding the Fourth Proportional to 42,409.50, 58,525.88 and 23,291.07

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Solution

The fourth proportional to 42,409.50, 58,525.88 and 23,291.07 is: 32,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,409.50 : 58,525.88 = 23,291.07 : x
  2. Step 2: Convert to fraction form
    42,409.50/58,525.88 = 23,291.07/x
  3. Step 3: Cross multiply
    42,409.50x = 58,525.88 × 23,291.07
  4. Step 4: Simplify right side
    42,409.50x = 1,363,130,251.44
  5. Step 5: Solve for x
    x = 1,363,130,251.44/42,409.50
  6. Step 6: Final answer
    x = 32,142.10

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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.