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Finding the Fourth Proportional to 42,102.30, 63,139.78 and 14,014.81

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Solution

The fourth proportional to 42,102.30, 63,139.78 and 14,014.81 is: 21,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102.30 : 63,139.78 = 14,014.81 : x
  2. Step 2: Convert to fraction form
    42,102.30/63,139.78 = 14,014.81/x
  3. Step 3: Cross multiply
    42,102.30x = 63,139.78 × 14,014.81
  4. Step 4: Simplify right side
    42,102.30x = 884,892,232.50
  5. Step 5: Solve for x
    x = 884,892,232.50/42,102.30
  6. Step 6: Final answer
    x = 21,017.67

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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.