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Finding the Fourth Proportional to 38,430.46, 57,648.66 and 14,749.39

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Solution

The fourth proportional to 38,430.46, 57,648.66 and 14,749.39 is: 22,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430.46 : 57,648.66 = 14,749.39 : x
  2. Step 2: Convert to fraction form
    38,430.46/57,648.66 = 14,749.39/x
  3. Step 3: Cross multiply
    38,430.46x = 57,648.66 × 14,749.39
  4. Step 4: Simplify right side
    38,430.46x = 850,282,569.32
  5. Step 5: Solve for x
    x = 850,282,569.32/38,430.46
  6. Step 6: Final answer
    x = 22,125.22

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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.