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Finding the Fourth Proportional to 46,309.32, 69,463.53 and 13,038.66

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Solution

The fourth proportional to 46,309.32, 69,463.53 and 13,038.66 is: 19,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,309.32 : 69,463.53 = 13,038.66 : x
  2. Step 2: Convert to fraction form
    46,309.32/69,463.53 = 13,038.66/x
  3. Step 3: Cross multiply
    46,309.32x = 69,463.53 × 13,038.66
  4. Step 4: Simplify right side
    46,309.32x = 905,711,350.07
  5. Step 5: Solve for x
    x = 905,711,350.07/46,309.32
  6. Step 6: Final answer
    x = 19,557.86

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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.