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Finding the Fourth Proportional to 34,724, 52,094.84 and 10,100

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Solution

The fourth proportional to 34,724, 52,094.84 and 10,100 is: 15,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,724 : 52,094.84 = 10,100 : x
  2. Step 2: Convert to fraction form
    34,724/52,094.84 = 10,100/x
  3. Step 3: Cross multiply
    34,724x = 52,094.84 × 10,100
  4. Step 4: Simplify right side
    34,724x = 526,157,884.00
  5. Step 5: Solve for x
    x = 526,157,884.00/34,724
  6. Step 6: Final answer
    x = 15,152.57

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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.