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Finding the Fourth Proportional to 47,323.62, 70,970.07 and 15,725.19

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Solution

The fourth proportional to 47,323.62, 70,970.07 and 15,725.19 is: 23,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,323.62 : 70,970.07 = 15,725.19 : x
  2. Step 2: Convert to fraction form
    47,323.62/70,970.07 = 15,725.19/x
  3. Step 3: Cross multiply
    47,323.62x = 70,970.07 × 15,725.19
  4. Step 4: Simplify right side
    47,323.62x = 1,116,017,835.06
  5. Step 5: Solve for x
    x = 1,116,017,835.06/47,323.62
  6. Step 6: Final answer
    x = 23,582.68

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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.