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Finding the Fourth Proportional to 31,038.70, 46,562.66 and 14,400.42

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Solution

The fourth proportional to 31,038.70, 46,562.66 and 14,400.42 is: 21,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,038.70 : 46,562.66 = 14,400.42 : x
  2. Step 2: Convert to fraction form
    31,038.70/46,562.66 = 14,400.42/x
  3. Step 3: Cross multiply
    31,038.70x = 46,562.66 × 14,400.42
  4. Step 4: Simplify right side
    31,038.70x = 670,521,860.32
  5. Step 5: Solve for x
    x = 670,521,860.32/31,038.70
  6. Step 6: Final answer
    x = 21,602.77

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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.