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Finding the Fourth Proportional to 43,339, 65,008.54 and 10,507

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Solution

The fourth proportional to 43,339, 65,008.54 and 10,507 is: 15,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,339 : 65,008.54 = 10,507 : x
  2. Step 2: Convert to fraction form
    43,339/65,008.54 = 10,507/x
  3. Step 3: Cross multiply
    43,339x = 65,008.54 × 10,507
  4. Step 4: Simplify right side
    43,339x = 683,044,729.78
  5. Step 5: Solve for x
    x = 683,044,729.78/43,339
  6. Step 6: Final answer
    x = 15,760.51

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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.