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Finding the Fourth Proportional to 46,880.52, 70,321.02 and 19,178.52

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Solution

The fourth proportional to 46,880.52, 70,321.02 and 19,178.52 is: 28,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,880.52 : 70,321.02 = 19,178.52 : x
  2. Step 2: Convert to fraction form
    46,880.52/70,321.02 = 19,178.52/x
  3. Step 3: Cross multiply
    46,880.52x = 70,321.02 × 19,178.52
  4. Step 4: Simplify right side
    46,880.52x = 1,348,653,088.49
  5. Step 5: Solve for x
    x = 1,348,653,088.49/46,880.52
  6. Step 6: Final answer
    x = 28,767.88

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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.