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Finding the Fourth Proportional to 29,966.50, 44,918.14 and 9,970.64

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Solution

The fourth proportional to 29,966.50, 44,918.14 and 9,970.64 is: 14,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,966.50 : 44,918.14 = 9,970.64 : x
  2. Step 2: Convert to fraction form
    29,966.50/44,918.14 = 9,970.64/x
  3. Step 3: Cross multiply
    29,966.50x = 44,918.14 × 9,970.64
  4. Step 4: Simplify right side
    29,966.50x = 447,862,603.41
  5. Step 5: Solve for x
    x = 447,862,603.41/29,966.50
  6. Step 6: Final answer
    x = 14,945.44

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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.