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Finding the Fourth Proportional to 42,271.46, 63,407.73 and 20,087

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Solution

The fourth proportional to 42,271.46, 63,407.73 and 20,087 is: 30,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,271.46 : 63,407.73 = 20,087 : x
  2. Step 2: Convert to fraction form
    42,271.46/63,407.73 = 20,087/x
  3. Step 3: Cross multiply
    42,271.46x = 63,407.73 × 20,087
  4. Step 4: Simplify right side
    42,271.46x = 1,273,671,072.51
  5. Step 5: Solve for x
    x = 1,273,671,072.51/42,271.46
  6. Step 6: Final answer
    x = 30,130.76

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