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Finding the Fourth Proportional to 91,854.83, 137,719.60 and 46,765.37

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Solution

The fourth proportional to 91,854.83, 137,719.60 and 46,765.37 is: 70,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,854.83 : 137,719.60 = 46,765.37 : x
  2. Step 2: Convert to fraction form
    91,854.83/137,719.60 = 46,765.37/x
  3. Step 3: Cross multiply
    91,854.83x = 137,719.60 × 46,765.37
  4. Step 4: Simplify right side
    91,854.83x = 6,440,508,050.25
  5. Step 5: Solve for x
    x = 6,440,508,050.25/91,854.83
  6. Step 6: Final answer
    x = 70,116.16

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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.