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Finding the Fourth Proportional to 65,327.30, 90,022.65 and 46,411.46

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Solution

The fourth proportional to 65,327.30, 90,022.65 and 46,411.46 is: 63,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,327.30 : 90,022.65 = 46,411.46 : x
  2. Step 2: Convert to fraction form
    65,327.30/90,022.65 = 46,411.46/x
  3. Step 3: Cross multiply
    65,327.30x = 90,022.65 × 46,411.46
  4. Step 4: Simplify right side
    65,327.30x = 4,178,082,619.57
  5. Step 5: Solve for x
    x = 4,178,082,619.57/65,327.30
  6. Step 6: Final answer
    x = 63,956.15

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Why These Related Problems?

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