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Finding the Fourth Proportional to 35,064, 52,597.06 and 13,715.86

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Solution

The fourth proportional to 35,064, 52,597.06 and 13,715.86 is: 20,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,064 : 52,597.06 = 13,715.86 : x
  2. Step 2: Convert to fraction form
    35,064/52,597.06 = 13,715.86/x
  3. Step 3: Cross multiply
    35,064x = 52,597.06 × 13,715.86
  4. Step 4: Simplify right side
    35,064x = 721,413,745.59
  5. Step 5: Solve for x
    x = 721,413,745.59/35,064
  6. Step 6: Final answer
    x = 20,574.20

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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.