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Finding the Fourth Proportional to 35,973.87, 53,965.34 and 12,285.90

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Solution

The fourth proportional to 35,973.87, 53,965.34 and 12,285.90 is: 18,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,973.87 : 53,965.34 = 12,285.90 : x
  2. Step 2: Convert to fraction form
    35,973.87/53,965.34 = 12,285.90/x
  3. Step 3: Cross multiply
    35,973.87x = 53,965.34 × 12,285.90
  4. Step 4: Simplify right side
    35,973.87x = 663,012,709.28
  5. Step 5: Solve for x
    x = 663,012,709.28/35,973.87
  6. Step 6: Final answer
    x = 18,430.40

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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.