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Finding the Fourth Proportional to 109,565, 164,347.52 and 26,459

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Solution

The fourth proportional to 109,565, 164,347.52 and 26,459 is: 39,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,565 : 164,347.52 = 26,459 : x
  2. Step 2: Convert to fraction form
    109,565/164,347.52 = 26,459/x
  3. Step 3: Cross multiply
    109,565x = 164,347.52 × 26,459
  4. Step 4: Simplify right side
    109,565x = 4,348,471,031.68
  5. Step 5: Solve for x
    x = 4,348,471,031.68/109,565
  6. Step 6: Final answer
    x = 39,688.50

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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.