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Finding the Fourth Proportional to 109,673.64, 164,476.95 and 46,492.56

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Solution

The fourth proportional to 109,673.64, 164,476.95 and 46,492.56 is: 69,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,673.64 : 164,476.95 = 46,492.56 : x
  2. Step 2: Convert to fraction form
    109,673.64/164,476.95 = 46,492.56/x
  3. Step 3: Cross multiply
    109,673.64x = 164,476.95 × 46,492.56
  4. Step 4: Simplify right side
    109,673.64x = 7,646,954,466.49
  5. Step 5: Solve for x
    x = 7,646,954,466.49/109,673.64
  6. Step 6: Final answer
    x = 69,724.63

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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.