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Finding the Fourth Proportional to 67,960, 93,784.80 and 38,152

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Solution

The fourth proportional to 67,960, 93,784.80 and 38,152 is: 52,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,960 : 93,784.80 = 38,152 : x
  2. Step 2: Convert to fraction form
    67,960/93,784.80 = 38,152/x
  3. Step 3: Cross multiply
    67,960x = 93,784.80 × 38,152
  4. Step 4: Simplify right side
    67,960x = 3,578,077,689.60
  5. Step 5: Solve for x
    x = 3,578,077,689.60/67,960
  6. Step 6: Final answer
    x = 52,649.76

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