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Finding the Fourth Proportional to 31,416.48, 47,124.72 and 11,700

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Solution

The fourth proportional to 31,416.48, 47,124.72 and 11,700 is: 17,550

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416.48 : 47,124.72 = 11,700 : x
  2. Step 2: Convert to fraction form
    31,416.48/47,124.72 = 11,700/x
  3. Step 3: Cross multiply
    31,416.48x = 47,124.72 × 11,700
  4. Step 4: Simplify right side
    31,416.48x = 551,359,224
  5. Step 5: Solve for x
    x = 551,359,224/31,416.48
  6. Step 6: Final answer
    x = 17,550

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.