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Finding the Fourth Proportional to 46,771.76, 70,065.12 and 24,551.84

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Solution

The fourth proportional to 46,771.76, 70,065.12 and 24,551.84 is: 36,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,771.76 : 70,065.12 = 24,551.84 : x
  2. Step 2: Convert to fraction form
    46,771.76/70,065.12 = 24,551.84/x
  3. Step 3: Cross multiply
    46,771.76x = 70,065.12 × 24,551.84
  4. Step 4: Simplify right side
    46,771.76x = 1,720,227,615.82
  5. Step 5: Solve for x
    x = 1,720,227,615.82/46,771.76
  6. Step 6: Final answer
    x = 36,779.19

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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.