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Finding the Fourth Proportional to 47,336, 71,017.92 and 14,056.16

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Solution

The fourth proportional to 47,336, 71,017.92 and 14,056.16 is: 21,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,336 : 71,017.92 = 14,056.16 : x
  2. Step 2: Convert to fraction form
    47,336/71,017.92 = 14,056.16/x
  3. Step 3: Cross multiply
    47,336x = 71,017.92 × 14,056.16
  4. Step 4: Simplify right side
    47,336x = 998,239,246.39
  5. Step 5: Solve for x
    x = 998,239,246.39/47,336
  6. Step 6: Final answer
    x = 21,088.37

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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.