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Finding the Fourth Proportional to 42,017.40, 59,135.67 and 42,017.40

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Solution

The fourth proportional to 42,017.40, 59,135.67 and 42,017.40 is: 59,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,017.40 : 59,135.67 = 42,017.40 : x
  2. Step 2: Convert to fraction form
    42,017.40/59,135.67 = 42,017.40/x
  3. Step 3: Cross multiply
    42,017.40x = 59,135.67 × 42,017.40
  4. Step 4: Simplify right side
    42,017.40x = 2,484,727,100.66
  5. Step 5: Solve for x
    x = 2,484,727,100.66/42,017.40
  6. Step 6: Final answer
    x = 59,135.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.