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Finding the Fourth Proportional to 49,951, 74,926.50 and 13,015

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Solution

The fourth proportional to 49,951, 74,926.50 and 13,015 is: 19,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,951 : 74,926.50 = 13,015 : x
  2. Step 2: Convert to fraction form
    49,951/74,926.50 = 13,015/x
  3. Step 3: Cross multiply
    49,951x = 74,926.50 × 13,015
  4. Step 4: Simplify right side
    49,951x = 975,168,397.50
  5. Step 5: Solve for x
    x = 975,168,397.50/49,951
  6. Step 6: Final answer
    x = 19,522.50

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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.