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Finding the Fourth Proportional to 46,315.68, 69,462.54 and 13,038.72

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Solution

The fourth proportional to 46,315.68, 69,462.54 and 13,038.72 is: 19,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,315.68 : 69,462.54 = 13,038.72 : x
  2. Step 2: Convert to fraction form
    46,315.68/69,462.54 = 13,038.72/x
  3. Step 3: Cross multiply
    46,315.68x = 69,462.54 × 13,038.72
  4. Step 4: Simplify right side
    46,315.68x = 905,702,609.55
  5. Step 5: Solve for x
    x = 905,702,609.55/46,315.68
  6. Step 6: Final answer
    x = 19,554.99

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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.