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Finding the Fourth Proportional to 34,719, 52,087.38 and 10,095

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Solution

The fourth proportional to 34,719, 52,087.38 and 10,095 is: 15,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,719 : 52,087.38 = 10,095 : x
  2. Step 2: Convert to fraction form
    34,719/52,087.38 = 10,095/x
  3. Step 3: Cross multiply
    34,719x = 52,087.38 × 10,095
  4. Step 4: Simplify right side
    34,719x = 525,822,101.10
  5. Step 5: Solve for x
    x = 525,822,101.10/34,719
  6. Step 6: Final answer
    x = 15,145.08

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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.