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Finding the Fourth Proportional to 46,157.84, 69,235.72 and 12,877

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Solution

The fourth proportional to 46,157.84, 69,235.72 and 12,877 is: 19,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,157.84 : 69,235.72 = 12,877 : x
  2. Step 2: Convert to fraction form
    46,157.84/69,235.72 = 12,877/x
  3. Step 3: Cross multiply
    46,157.84x = 69,235.72 × 12,877
  4. Step 4: Simplify right side
    46,157.84x = 891,548,366.44
  5. Step 5: Solve for x
    x = 891,548,366.44/46,157.84
  6. Step 6: Final answer
    x = 19,315.21

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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.