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Finding the Fourth Proportional to 32,934.64, 49,401.99 and 15,416.77

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Solution

The fourth proportional to 32,934.64, 49,401.99 and 15,416.77 is: 23,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,934.64 : 49,401.99 = 15,416.77 : x
  2. Step 2: Convert to fraction form
    32,934.64/49,401.99 = 15,416.77/x
  3. Step 3: Cross multiply
    32,934.64x = 49,401.99 × 15,416.77
  4. Step 4: Simplify right side
    32,934.64x = 761,619,117.37
  5. Step 5: Solve for x
    x = 761,619,117.37/32,934.64
  6. Step 6: Final answer
    x = 23,125.17

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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.