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Finding the Fourth Proportional to 31,172.59, 46,774.52 and 14,533.92

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Solution

The fourth proportional to 31,172.59, 46,774.52 and 14,533.92 is: 21,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172.59 : 46,774.52 = 14,533.92 : x
  2. Step 2: Convert to fraction form
    31,172.59/46,774.52 = 14,533.92/x
  3. Step 3: Cross multiply
    31,172.59x = 46,774.52 × 14,533.92
  4. Step 4: Simplify right side
    31,172.59x = 679,817,131.72
  5. Step 5: Solve for x
    x = 679,817,131.72/31,172.59
  6. Step 6: Final answer
    x = 21,808.17

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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.