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Finding the Fourth Proportional to 46,460.88, 69,740.46 and 28,942.74

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Solution

The fourth proportional to 46,460.88, 69,740.46 and 28,942.74 is: 43,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,460.88 : 69,740.46 = 28,942.74 : x
  2. Step 2: Convert to fraction form
    46,460.88/69,740.46 = 28,942.74/x
  3. Step 3: Cross multiply
    46,460.88x = 69,740.46 × 28,942.74
  4. Step 4: Simplify right side
    46,460.88x = 2,018,480,001.26
  5. Step 5: Solve for x
    x = 2,018,480,001.26/46,460.88
  6. Step 6: Final answer
    x = 43,444.72

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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.