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Finding the Fourth Proportional to 65,648.16, 90,594 and 35,840.16

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Solution

The fourth proportional to 65,648.16, 90,594 and 35,840.16 is: 49,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,648.16 : 90,594 = 35,840.16 : x
  2. Step 2: Convert to fraction form
    65,648.16/90,594 = 35,840.16/x
  3. Step 3: Cross multiply
    65,648.16x = 90,594 × 35,840.16
  4. Step 4: Simplify right side
    65,648.16x = 3,246,903,455.04
  5. Step 5: Solve for x
    x = 3,246,903,455.04/65,648.16
  6. Step 6: Final answer
    x = 49,459.17

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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.