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Finding the Fourth Proportional to 32,626, 45,027.72 and 19,378

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Solution

The fourth proportional to 32,626, 45,027.72 and 19,378 is: 26,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,626 : 45,027.72 = 19,378 : x
  2. Step 2: Convert to fraction form
    32,626/45,027.72 = 19,378/x
  3. Step 3: Cross multiply
    32,626x = 45,027.72 × 19,378
  4. Step 4: Simplify right side
    32,626x = 872,547,158.16
  5. Step 5: Solve for x
    x = 872,547,158.16/32,626
  6. Step 6: Final answer
    x = 26,743.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.