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Finding the Fourth Proportional to 34,066.64, 51,026.10 and 16,499.63

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Solution

The fourth proportional to 34,066.64, 51,026.10 and 16,499.63 is: 24,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,066.64 : 51,026.10 = 16,499.63 : x
  2. Step 2: Convert to fraction form
    34,066.64/51,026.10 = 16,499.63/x
  3. Step 3: Cross multiply
    34,066.64x = 51,026.10 × 16,499.63
  4. Step 4: Simplify right side
    34,066.64x = 841,911,515.21
  5. Step 5: Solve for x
    x = 841,911,515.21/34,066.64
  6. Step 6: Final answer
    x = 24,713.67

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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.