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Finding the Fourth Proportional to 46,784, 70,188.16 and 13,952

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Solution

The fourth proportional to 46,784, 70,188.16 and 13,952 is: 20,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,784 : 70,188.16 = 13,952 : x
  2. Step 2: Convert to fraction form
    46,784/70,188.16 = 13,952/x
  3. Step 3: Cross multiply
    46,784x = 70,188.16 × 13,952
  4. Step 4: Simplify right side
    46,784x = 979,265,208.32
  5. Step 5: Solve for x
    x = 979,265,208.32/46,784
  6. Step 6: Final answer
    x = 20,931.63

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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.