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Finding the Fourth Proportional to 46,853, 70,289.22 and 19,151

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Solution

The fourth proportional to 46,853, 70,289.22 and 19,151 is: 28,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,853 : 70,289.22 = 19,151 : x
  2. Step 2: Convert to fraction form
    46,853/70,289.22 = 19,151/x
  3. Step 3: Cross multiply
    46,853x = 70,289.22 × 19,151
  4. Step 4: Simplify right side
    46,853x = 1,346,108,852.22
  5. Step 5: Solve for x
    x = 1,346,108,852.22/46,853
  6. Step 6: Final answer
    x = 28,730.47

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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.