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Finding the Fourth Proportional to 47,324, 70,970.64 and 15,725.58

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Solution

The fourth proportional to 47,324, 70,970.64 and 15,725.58 is: 23,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,324 : 70,970.64 = 15,725.58 : x
  2. Step 2: Convert to fraction form
    47,324/70,970.64 = 15,725.58/x
  3. Step 3: Cross multiply
    47,324x = 70,970.64 × 15,725.58
  4. Step 4: Simplify right side
    47,324x = 1,116,054,476.97
  5. Step 5: Solve for x
    x = 1,116,054,476.97/47,324
  6. Step 6: Final answer
    x = 23,583.27

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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.