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Finding the Fourth Proportional to 78,415.53, 117,508.44 and 38,893.74

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Solution

The fourth proportional to 78,415.53, 117,508.44 and 38,893.74 is: 58,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,415.53 : 117,508.44 = 38,893.74 : x
  2. Step 2: Convert to fraction form
    78,415.53/117,508.44 = 38,893.74/x
  3. Step 3: Cross multiply
    78,415.53x = 117,508.44 × 38,893.74
  4. Step 4: Simplify right side
    78,415.53x = 4,570,342,713.17
  5. Step 5: Solve for x
    x = 4,570,342,713.17/78,415.53
  6. Step 6: Final answer
    x = 58,283.64

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1.5x scale

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.