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Finding the Fourth Proportional to 46,032.48, 69,048.72 and 14,447.41

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Solution

The fourth proportional to 46,032.48, 69,048.72 and 14,447.41 is: 21,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,032.48 : 69,048.72 = 14,447.41 : x
  2. Step 2: Convert to fraction form
    46,032.48/69,048.72 = 14,447.41/x
  3. Step 3: Cross multiply
    46,032.48x = 69,048.72 × 14,447.41
  4. Step 4: Simplify right side
    46,032.48x = 997,575,167.82
  5. Step 5: Solve for x
    x = 997,575,167.82/46,032.48
  6. Step 6: Final answer
    x = 21,671.12

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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.