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Finding the Fourth Proportional to 65,842.51, 90,862.02 and 35,627.18

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Solution

The fourth proportional to 65,842.51, 90,862.02 and 35,627.18 is: 49,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842.51 : 90,862.02 = 35,627.18 : x
  2. Step 2: Convert to fraction form
    65,842.51/90,862.02 = 35,627.18/x
  3. Step 3: Cross multiply
    65,842.51x = 90,862.02 × 35,627.18
  4. Step 4: Simplify right side
    65,842.51x = 3,237,157,541.70
  5. Step 5: Solve for x
    x = 3,237,157,541.70/65,842.51
  6. Step 6: Final answer
    x = 49,165.16

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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.