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Finding the Fourth Proportional to 65,657, 98,485.62 and 16,409

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Solution

The fourth proportional to 65,657, 98,485.62 and 16,409 is: 24,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,657 : 98,485.62 = 16,409 : x
  2. Step 2: Convert to fraction form
    65,657/98,485.62 = 16,409/x
  3. Step 3: Cross multiply
    65,657x = 98,485.62 × 16,409
  4. Step 4: Simplify right side
    65,657x = 1,616,050,538.58
  5. Step 5: Solve for x
    x = 1,616,050,538.58/65,657
  6. Step 6: Final answer
    x = 24,613.53

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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.