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Finding the Fourth Proportional to 65,088.90, 97,614.20 and 27,648.68

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Solution

The fourth proportional to 65,088.90, 97,614.20 and 27,648.68 is: 41,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,088.90 : 97,614.20 = 27,648.68 : x
  2. Step 2: Convert to fraction form
    65,088.90/97,614.20 = 27,648.68/x
  3. Step 3: Cross multiply
    65,088.90x = 97,614.20 × 27,648.68
  4. Step 4: Simplify right side
    65,088.90x = 2,698,903,779.26
  5. Step 5: Solve for x
    x = 2,698,903,779.26/65,088.90
  6. Step 6: Final answer
    x = 41,464.89

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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.