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Finding the Fourth Proportional to 47,316.98, 70,975.02 and 14,037.14

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Solution

The fourth proportional to 47,316.98, 70,975.02 and 14,037.14 is: 21,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,316.98 : 70,975.02 = 14,037.14 : x
  2. Step 2: Convert to fraction form
    47,316.98/70,975.02 = 14,037.14/x
  3. Step 3: Cross multiply
    47,316.98x = 70,975.02 × 14,037.14
  4. Step 4: Simplify right side
    47,316.98x = 996,286,292.24
  5. Step 5: Solve for x
    x = 996,286,292.24/47,316.98
  6. Step 6: Final answer
    x = 21,055.58

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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.