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Finding the Fourth Proportional to 65,196.80, 89,842.56 and 46,280.96

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Solution

The fourth proportional to 65,196.80, 89,842.56 and 46,280.96 is: 63,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.80 : 89,842.56 = 46,280.96 : x
  2. Step 2: Convert to fraction form
    65,196.80/89,842.56 = 46,280.96/x
  3. Step 3: Cross multiply
    65,196.80x = 89,842.56 × 46,280.96
  4. Step 4: Simplify right side
    65,196.80x = 4,157,999,925.66
  5. Step 5: Solve for x
    x = 4,157,999,925.66/65,196.80
  6. Step 6: Final answer
    x = 63,776.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.