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Finding the Fourth Proportional to 38,894.50, 58,345.81 and 14,878.76

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Solution

The fourth proportional to 38,894.50, 58,345.81 and 14,878.76 is: 22,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,894.50 : 58,345.81 = 14,878.76 : x
  2. Step 2: Convert to fraction form
    38,894.50/58,345.81 = 14,878.76/x
  3. Step 3: Cross multiply
    38,894.50x = 58,345.81 × 14,878.76
  4. Step 4: Simplify right side
    38,894.50x = 868,113,157.40
  5. Step 5: Solve for x
    x = 868,113,157.40/38,894.50
  6. Step 6: Final answer
    x = 22,319.69

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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.