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Finding the Fourth Proportional to 30,773.32, 46,164 and 11,054.08

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Solution

The fourth proportional to 30,773.32, 46,164 and 11,054.08 is: 16,582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.32 : 46,164 = 11,054.08 : x
  2. Step 2: Convert to fraction form
    30,773.32/46,164 = 11,054.08/x
  3. Step 3: Cross multiply
    30,773.32x = 46,164 × 11,054.08
  4. Step 4: Simplify right side
    30,773.32x = 510,300,549.12
  5. Step 5: Solve for x
    x = 510,300,549.12/30,773.32
  6. Step 6: Final answer
    x = 16,582.56

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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.