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Finding the Fourth Proportional to 34,430.76, 51,641.27 and 11,054.16

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Solution

The fourth proportional to 34,430.76, 51,641.27 and 11,054.16 is: 16,579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,430.76 : 51,641.27 = 11,054.16 : x
  2. Step 2: Convert to fraction form
    34,430.76/51,641.27 = 11,054.16/x
  3. Step 3: Cross multiply
    34,430.76x = 51,641.27 × 11,054.16
  4. Step 4: Simplify right side
    34,430.76x = 570,850,805.91
  5. Step 5: Solve for x
    x = 570,850,805.91/34,430.76
  6. Step 6: Final answer
    x = 16,579.67

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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.