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Finding the Fourth Proportional to 110,098.64, 165,210.29 and 46,912.10

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Solution

The fourth proportional to 110,098.64, 165,210.29 and 46,912.10 is: 70,394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,098.64 : 165,210.29 = 46,912.10 : x
  2. Step 2: Convert to fraction form
    110,098.64/165,210.29 = 46,912.10/x
  3. Step 3: Cross multiply
    110,098.64x = 165,210.29 × 46,912.10
  4. Step 4: Simplify right side
    110,098.64x = 7,750,362,175.81
  5. Step 5: Solve for x
    x = 7,750,362,175.81/110,098.64
  6. Step 6: Final answer
    x = 70,394.72

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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.