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Finding the Fourth Proportional to 102,574.96, 153,893.76 and 49,976.80

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Solution

The fourth proportional to 102,574.96, 153,893.76 and 49,976.80 is: 74,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,574.96 : 153,893.76 = 49,976.80 : x
  2. Step 2: Convert to fraction form
    102,574.96/153,893.76 = 49,976.80/x
  3. Step 3: Cross multiply
    102,574.96x = 153,893.76 × 49,976.80
  4. Step 4: Simplify right side
    102,574.96x = 7,691,117,664.77
  5. Step 5: Solve for x
    x = 7,691,117,664.77/102,574.96
  6. Step 6: Final answer
    x = 74,980.46

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1.5x scale

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.