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Finding the Fourth Proportional to 65,594.96, 90,424.25 and 46,415.20

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Solution

The fourth proportional to 65,594.96, 90,424.25 and 46,415.20 is: 63,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,594.96 : 90,424.25 = 46,415.20 : x
  2. Step 2: Convert to fraction form
    65,594.96/90,424.25 = 46,415.20/x
  3. Step 3: Cross multiply
    65,594.96x = 90,424.25 × 46,415.20
  4. Step 4: Simplify right side
    65,594.96x = 4,197,059,788.38
  5. Step 5: Solve for x
    x = 4,197,059,788.38/65,594.96
  6. Step 6: Final answer
    x = 63,984.48

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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.