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Finding the Fourth Proportional to 28,700, 43,056.48 and 10,232

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Solution

The fourth proportional to 28,700, 43,056.48 and 10,232 is: 15,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,700 : 43,056.48 = 10,232 : x
  2. Step 2: Convert to fraction form
    28,700/43,056.48 = 10,232/x
  3. Step 3: Cross multiply
    28,700x = 43,056.48 × 10,232
  4. Step 4: Simplify right side
    28,700x = 440,553,903.36
  5. Step 5: Solve for x
    x = 440,553,903.36/28,700
  6. Step 6: Final answer
    x = 15,350.31

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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.