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Finding the Fourth Proportional to 65,237.63, 97,828.76 and 23,128.31

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Solution

The fourth proportional to 65,237.63, 97,828.76 and 23,128.31 is: 34,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,237.63 : 97,828.76 = 23,128.31 : x
  2. Step 2: Convert to fraction form
    65,237.63/97,828.76 = 23,128.31/x
  3. Step 3: Cross multiply
    65,237.63x = 97,828.76 × 23,128.31
  4. Step 4: Simplify right side
    65,237.63x = 2,262,613,283.41
  5. Step 5: Solve for x
    x = 2,262,613,283.41/65,237.63
  6. Step 6: Final answer
    x = 34,682.64

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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.