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Finding the Fourth Proportional to 77,893.42, 107,492.77 and 42,083.32

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Solution

The fourth proportional to 77,893.42, 107,492.77 and 42,083.32 is: 58,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,893.42 : 107,492.77 = 42,083.32 : x
  2. Step 2: Convert to fraction form
    77,893.42/107,492.77 = 42,083.32/x
  3. Step 3: Cross multiply
    77,893.42x = 107,492.77 × 42,083.32
  4. Step 4: Simplify right side
    77,893.42x = 4,523,652,637.60
  5. Step 5: Solve for x
    x = 4,523,652,637.60/77,893.42
  6. Step 6: Final answer
    x = 58,074.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.