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Finding the Fourth Proportional to 34,641, 51,970.14 and 10,017

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Solution

The fourth proportional to 34,641, 51,970.14 and 10,017 is: 15,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,641 : 51,970.14 = 10,017 : x
  2. Step 2: Convert to fraction form
    34,641/51,970.14 = 10,017/x
  3. Step 3: Cross multiply
    34,641x = 51,970.14 × 10,017
  4. Step 4: Simplify right side
    34,641x = 520,584,892.38
  5. Step 5: Solve for x
    x = 520,584,892.38/34,641
  6. Step 6: Final answer
    x = 15,028.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.