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Finding the Fourth Proportional to 86,564.88, 119,459.34 and 48,838.86

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Solution

The fourth proportional to 86,564.88, 119,459.34 and 48,838.86 is: 67,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,564.88 : 119,459.34 = 48,838.86 : x
  2. Step 2: Convert to fraction form
    86,564.88/119,459.34 = 48,838.86/x
  3. Step 3: Cross multiply
    86,564.88x = 119,459.34 × 48,838.86
  4. Step 4: Simplify right side
    86,564.88x = 5,834,257,981.95
  5. Step 5: Solve for x
    x = 5,834,257,981.95/86,564.88
  6. Step 6: Final answer
    x = 67,397.52

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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.