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Finding the Fourth Proportional to 34,754, 52,140.60 and 10,130

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Solution

The fourth proportional to 34,754, 52,140.60 and 10,130 is: 15,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,754 : 52,140.60 = 10,130 : x
  2. Step 2: Convert to fraction form
    34,754/52,140.60 = 10,130/x
  3. Step 3: Cross multiply
    34,754x = 52,140.60 × 10,130
  4. Step 4: Simplify right side
    34,754x = 528,184,278
  5. Step 5: Solve for x
    x = 528,184,278/34,754
  6. Step 6: Final answer
    x = 15,197.80

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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.