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Finding the Fourth Proportional to 109,417.84, 164,126.74 and 34,590.52

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Solution

The fourth proportional to 109,417.84, 164,126.74 and 34,590.52 is: 51,885.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,417.84 : 164,126.74 = 34,590.52 : x
  2. Step 2: Convert to fraction form
    109,417.84/164,126.74 = 34,590.52/x
  3. Step 3: Cross multiply
    109,417.84x = 164,126.74 × 34,590.52
  4. Step 4: Simplify right side
    109,417.84x = 5,677,229,282.50
  5. Step 5: Solve for x
    x = 5,677,229,282.50/109,417.84
  6. Step 6: Final answer
    x = 51,885.77

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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.