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Finding the Fourth Proportional to 65,386.15, 90,230.16 and 37,097.17

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Solution

The fourth proportional to 65,386.15, 90,230.16 and 37,097.17 is: 51,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,386.15 : 90,230.16 = 37,097.17 : x
  2. Step 2: Convert to fraction form
    65,386.15/90,230.16 = 37,097.17/x
  3. Step 3: Cross multiply
    65,386.15x = 90,230.16 × 37,097.17
  4. Step 4: Simplify right side
    65,386.15x = 3,347,283,584.65
  5. Step 5: Solve for x
    x = 3,347,283,584.65/65,386.15
  6. Step 6: Final answer
    x = 51,192.55

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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.