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Finding the Fourth Proportional to 46,386, 69,581.64 and 14,793.84

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Solution

The fourth proportional to 46,386, 69,581.64 and 14,793.84 is: 22,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,386 : 69,581.64 = 14,793.84 : x
  2. Step 2: Convert to fraction form
    46,386/69,581.64 = 14,793.84/x
  3. Step 3: Cross multiply
    46,386x = 69,581.64 × 14,793.84
  4. Step 4: Simplify right side
    46,386x = 1,029,379,649.10
  5. Step 5: Solve for x
    x = 1,029,379,649.10/46,386
  6. Step 6: Final answer
    x = 22,191.60

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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.