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Finding the Fourth Proportional to 39,705.82, 59,430.75 and 21,908.50

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Solution

The fourth proportional to 39,705.82, 59,430.75 and 21,908.50 is: 32,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,705.82 : 59,430.75 = 21,908.50 : x
  2. Step 2: Convert to fraction form
    39,705.82/59,430.75 = 21,908.50/x
  3. Step 3: Cross multiply
    39,705.82x = 59,430.75 × 21,908.50
  4. Step 4: Simplify right side
    39,705.82x = 1,302,038,586.38
  5. Step 5: Solve for x
    x = 1,302,038,586.38/39,705.82
  6. Step 6: Final answer
    x = 32,792.13

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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.