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Finding the Fourth Proportional to 47,214, 70,824.24 and 15,624

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Solution

The fourth proportional to 47,214, 70,824.24 and 15,624 is: 23,437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,214 : 70,824.24 = 15,624 : x
  2. Step 2: Convert to fraction form
    47,214/70,824.24 = 15,624/x
  3. Step 3: Cross multiply
    47,214x = 70,824.24 × 15,624
  4. Step 4: Simplify right side
    47,214x = 1,106,557,925.76
  5. Step 5: Solve for x
    x = 1,106,557,925.76/47,214
  6. Step 6: Final answer
    x = 23,437.07

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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.