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Finding the Fourth Proportional to 109,300.51, 163,808.74 and 49,284.91

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Solution

The fourth proportional to 109,300.51, 163,808.74 and 49,284.91 is: 73,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,300.51 : 163,808.74 = 49,284.91 : x
  2. Step 2: Convert to fraction form
    109,300.51/163,808.74 = 49,284.91/x
  3. Step 3: Cross multiply
    109,300.51x = 163,808.74 × 49,284.91
  4. Step 4: Simplify right side
    109,300.51x = 8,073,299,008.11
  5. Step 5: Solve for x
    x = 8,073,299,008.11/109,300.51
  6. Step 6: Final answer
    x = 73,863.32

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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.