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Finding the Fourth Proportional to 46,833.48, 70,256.70 and 19,125

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Solution

The fourth proportional to 46,833.48, 70,256.70 and 19,125 is: 28,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,833.48 : 70,256.70 = 19,125 : x
  2. Step 2: Convert to fraction form
    46,833.48/70,256.70 = 19,125/x
  3. Step 3: Cross multiply
    46,833.48x = 70,256.70 × 19,125
  4. Step 4: Simplify right side
    46,833.48x = 1,343,659,387.50
  5. Step 5: Solve for x
    x = 1,343,659,387.50/46,833.48
  6. Step 6: Final answer
    x = 28,690.15

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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.