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Finding the Fourth Proportional to 67,536.40, 101,678.58 and 59,684

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Solution

The fourth proportional to 67,536.40, 101,678.58 and 59,684 is: 89,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,536.40 : 101,678.58 = 59,684 : x
  2. Step 2: Convert to fraction form
    67,536.40/101,678.58 = 59,684/x
  3. Step 3: Cross multiply
    67,536.40x = 101,678.58 × 59,684
  4. Step 4: Simplify right side
    67,536.40x = 6,068,584,368.72
  5. Step 5: Solve for x
    x = 6,068,584,368.72/67,536.40
  6. Step 6: Final answer
    x = 89,856.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.