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Finding the Fourth Proportional to 90,594.63, 135,829.98 and 46,135.35

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Solution

The fourth proportional to 90,594.63, 135,829.98 and 46,135.35 is: 69,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,594.63 : 135,829.98 = 46,135.35 : x
  2. Step 2: Convert to fraction form
    90,594.63/135,829.98 = 46,135.35/x
  3. Step 3: Cross multiply
    90,594.63x = 135,829.98 × 46,135.35
  4. Step 4: Simplify right side
    90,594.63x = 6,266,563,667.79
  5. Step 5: Solve for x
    x = 6,266,563,667.79/90,594.63
  6. Step 6: Final answer
    x = 69,171.47

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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.