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Finding the Fourth Proportional to 58,423.86, 87,597.45 and 20,965.14

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Solution

The fourth proportional to 58,423.86, 87,597.45 and 20,965.14 is: 31,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,423.86 : 87,597.45 = 20,965.14 : x
  2. Step 2: Convert to fraction form
    58,423.86/87,597.45 = 20,965.14/x
  3. Step 3: Cross multiply
    58,423.86x = 87,597.45 × 20,965.14
  4. Step 4: Simplify right side
    58,423.86x = 1,836,492,802.89
  5. Step 5: Solve for x
    x = 1,836,492,802.89/58,423.86
  6. Step 6: Final answer
    x = 31,433.95

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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.