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Finding the Fourth Proportional to 46,392, 69,495.84 and 22,946.88

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Solution

The fourth proportional to 46,392, 69,495.84 and 22,946.88 is: 34,374.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,392 : 69,495.84 = 22,946.88 : x
  2. Step 2: Convert to fraction form
    46,392/69,495.84 = 22,946.88/x
  3. Step 3: Cross multiply
    46,392x = 69,495.84 × 22,946.88
  4. Step 4: Simplify right side
    46,392x = 1,594,712,700.98
  5. Step 5: Solve for x
    x = 1,594,712,700.98/46,392
  6. Step 6: Final answer
    x = 34,374.73

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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.