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Finding the Fourth Proportional to 65,165.76, 97,748.64 and 23,050.08

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Solution

The fourth proportional to 65,165.76, 97,748.64 and 23,050.08 is: 34,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,165.76 : 97,748.64 = 23,050.08 : x
  2. Step 2: Convert to fraction form
    65,165.76/97,748.64 = 23,050.08/x
  3. Step 3: Cross multiply
    65,165.76x = 97,748.64 × 23,050.08
  4. Step 4: Simplify right side
    65,165.76x = 2,253,113,971.89
  5. Step 5: Solve for x
    x = 2,253,113,971.89/65,165.76
  6. Step 6: Final answer
    x = 34,575.12

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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.