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Finding the Fourth Proportional to 34,745.60, 52,113.54 and 11,369

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Solution

The fourth proportional to 34,745.60, 52,113.54 and 11,369 is: 17,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,745.60 : 52,113.54 = 11,369 : x
  2. Step 2: Convert to fraction form
    34,745.60/52,113.54 = 11,369/x
  3. Step 3: Cross multiply
    34,745.60x = 52,113.54 × 11,369
  4. Step 4: Simplify right side
    34,745.60x = 592,478,836.26
  5. Step 5: Solve for x
    x = 592,478,836.26/34,745.60
  6. Step 6: Final answer
    x = 17,051.91

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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.