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Finding the Fourth Proportional to 34,712.35, 52,068.02 and 8,417.32

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Solution

The fourth proportional to 34,712.35, 52,068.02 and 8,417.32 is: 12,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,712.35 : 52,068.02 = 8,417.32 : x
  2. Step 2: Convert to fraction form
    34,712.35/52,068.02 = 8,417.32/x
  3. Step 3: Cross multiply
    34,712.35x = 52,068.02 × 8,417.32
  4. Step 4: Simplify right side
    34,712.35x = 438,273,013.85
  5. Step 5: Solve for x
    x = 438,273,013.85/34,712.35
  6. Step 6: Final answer
    x = 12,625.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.