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Finding the Fourth Proportional to 30,776.46, 46,159.65 and 11,051.34

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Solution

The fourth proportional to 30,776.46, 46,159.65 and 11,051.34 is: 16,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.46 : 46,159.65 = 11,051.34 : x
  2. Step 2: Convert to fraction form
    30,776.46/46,159.65 = 11,051.34/x
  3. Step 3: Cross multiply
    30,776.46x = 46,159.65 × 11,051.34
  4. Step 4: Simplify right side
    30,776.46x = 510,125,986.43
  5. Step 5: Solve for x
    x = 510,125,986.43/30,776.46
  6. Step 6: Final answer
    x = 16,575.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.