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Finding the Fourth Proportional to 46,845, 70,277.22 and 19,143

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Solution

The fourth proportional to 46,845, 70,277.22 and 19,143 is: 28,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,845 : 70,277.22 = 19,143 : x
  2. Step 2: Convert to fraction form
    46,845/70,277.22 = 19,143/x
  3. Step 3: Cross multiply
    46,845x = 70,277.22 × 19,143
  4. Step 4: Simplify right side
    46,845x = 1,345,316,822.46
  5. Step 5: Solve for x
    x = 1,345,316,822.46/46,845
  6. Step 6: Final answer
    x = 28,718.47

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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.