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Finding the Fourth Proportional to 58,075.24, 87,078.00 and 20,112

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Solution

The fourth proportional to 58,075.24, 87,078.00 and 20,112 is: 30,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,075.24 : 87,078.00 = 20,112 : x
  2. Step 2: Convert to fraction form
    58,075.24/87,078.00 = 20,112/x
  3. Step 3: Cross multiply
    58,075.24x = 87,078.00 × 20,112
  4. Step 4: Simplify right side
    58,075.24x = 1,751,312,811.42
  5. Step 5: Solve for x
    x = 1,751,312,811.42/58,075.24
  6. Step 6: Final answer
    x = 30,155.93

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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.