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Finding the Fourth Proportional to 65,051.64, 97,599.62 and 35,068.78

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Solution

The fourth proportional to 65,051.64, 97,599.62 and 35,068.78 is: 52,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,051.64 : 97,599.62 = 35,068.78 : x
  2. Step 2: Convert to fraction form
    65,051.64/97,599.62 = 35,068.78/x
  3. Step 3: Cross multiply
    65,051.64x = 97,599.62 × 35,068.78
  4. Step 4: Simplify right side
    65,051.64x = 3,422,699,407.05
  5. Step 5: Solve for x
    x = 3,422,699,407.05/65,051.64
  6. Step 6: Final answer
    x = 52,615.11

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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.