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Finding the Fourth Proportional to 61,809.40, 92,742.90 and 46,257.40

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Solution

The fourth proportional to 61,809.40, 92,742.90 and 46,257.40 is: 69,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,809.40 : 92,742.90 = 46,257.40 : x
  2. Step 2: Convert to fraction form
    61,809.40/92,742.90 = 46,257.40/x
  3. Step 3: Cross multiply
    61,809.40x = 92,742.90 × 46,257.40
  4. Step 4: Simplify right side
    61,809.40x = 4,290,045,422.46
  5. Step 5: Solve for x
    x = 4,290,045,422.46/61,809.40
  6. Step 6: Final answer
    x = 69,407.65

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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.