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Finding the Fourth Proportional to 46,294.21, 69,441 and 13,014.07

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Solution

The fourth proportional to 46,294.21, 69,441 and 13,014.07 is: 19,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,294.21 : 69,441 = 13,014.07 : x
  2. Step 2: Convert to fraction form
    46,294.21/69,441 = 13,014.07/x
  3. Step 3: Cross multiply
    46,294.21x = 69,441 × 13,014.07
  4. Step 4: Simplify right side
    46,294.21x = 903,710,034.87
  5. Step 5: Solve for x
    x = 903,710,034.87/46,294.21
  6. Step 6: Final answer
    x = 19,521.02

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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.