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Finding the Fourth Proportional to 65,506.57, 90,398.62 and 37,212.26

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Solution

The fourth proportional to 65,506.57, 90,398.62 and 37,212.26 is: 51,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,506.57 : 90,398.62 = 37,212.26 : x
  2. Step 2: Convert to fraction form
    65,506.57/90,398.62 = 37,212.26/x
  3. Step 3: Cross multiply
    65,506.57x = 90,398.62 × 37,212.26
  4. Step 4: Simplify right side
    65,506.57x = 3,363,937,001.77
  5. Step 5: Solve for x
    x = 3,363,937,001.77/65,506.57
  6. Step 6: Final answer
    x = 51,352.66

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1.5x scale

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.