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Finding the Fourth Proportional to 45,168, 67,686.40 and 32,046

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Solution

The fourth proportional to 45,168, 67,686.40 and 32,046 is: 48,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,168 : 67,686.40 = 32,046 : x
  2. Step 2: Convert to fraction form
    45,168/67,686.40 = 32,046/x
  3. Step 3: Cross multiply
    45,168x = 67,686.40 × 32,046
  4. Step 4: Simplify right side
    45,168x = 2,169,078,374.40
  5. Step 5: Solve for x
    x = 2,169,078,374.40/45,168
  6. Step 6: Final answer
    x = 48,022.46

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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.