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Finding the Fourth Proportional to 46,857.48, 70,275.24 and 13,568.64

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Solution

The fourth proportional to 46,857.48, 70,275.24 and 13,568.64 is: 20,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,857.48 : 70,275.24 = 13,568.64 : x
  2. Step 2: Convert to fraction form
    46,857.48/70,275.24 = 13,568.64/x
  3. Step 3: Cross multiply
    46,857.48x = 70,275.24 × 13,568.64
  4. Step 4: Simplify right side
    46,857.48x = 953,539,432.47
  5. Step 5: Solve for x
    x = 953,539,432.47/46,857.48
  6. Step 6: Final answer
    x = 20,349.78

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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.