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Finding the Fourth Proportional to 95,712, 143,574.59 and 32,506.32

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Solution

The fourth proportional to 95,712, 143,574.59 and 32,506.32 is: 48,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,712 : 143,574.59 = 32,506.32 : x
  2. Step 2: Convert to fraction form
    95,712/143,574.59 = 32,506.32/x
  3. Step 3: Cross multiply
    95,712x = 143,574.59 × 32,506.32
  4. Step 4: Simplify right side
    95,712x = 4,667,081,566.41
  5. Step 5: Solve for x
    x = 4,667,081,566.41/95,712
  6. Step 6: Final answer
    x = 48,761.72

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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.