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Finding the Fourth Proportional to 65,655, 98,482.62 and 16,407

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Solution

The fourth proportional to 65,655, 98,482.62 and 16,407 is: 24,610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,655 : 98,482.62 = 16,407 : x
  2. Step 2: Convert to fraction form
    65,655/98,482.62 = 16,407/x
  3. Step 3: Cross multiply
    65,655x = 98,482.62 × 16,407
  4. Step 4: Simplify right side
    65,655x = 1,615,804,346.34
  5. Step 5: Solve for x
    x = 1,615,804,346.34/65,655
  6. Step 6: Final answer
    x = 24,610.53

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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.