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Finding the Fourth Proportional to 94,893.40, 142,384.38 and 42,297.40

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Solution

The fourth proportional to 94,893.40, 142,384.38 and 42,297.40 is: 63,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,893.40 : 142,384.38 = 42,297.40 : x
  2. Step 2: Convert to fraction form
    94,893.40/142,384.38 = 42,297.40/x
  3. Step 3: Cross multiply
    94,893.40x = 142,384.38 × 42,297.40
  4. Step 4: Simplify right side
    94,893.40x = 6,022,489,074.61
  5. Step 5: Solve for x
    x = 6,022,489,074.61/94,893.40
  6. Step 6: Final answer
    x = 63,465.84

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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.