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Finding the Fourth Proportional to 38,990.38, 53,743.53 and 30,477.46

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Solution

The fourth proportional to 38,990.38, 53,743.53 and 30,477.46 is: 42,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,990.38 : 53,743.53 = 30,477.46 : x
  2. Step 2: Convert to fraction form
    38,990.38/53,743.53 = 30,477.46/x
  3. Step 3: Cross multiply
    38,990.38x = 53,743.53 × 30,477.46
  4. Step 4: Simplify right side
    38,990.38x = 1,637,966,285.83
  5. Step 5: Solve for x
    x = 1,637,966,285.83/38,990.38
  6. Step 6: Final answer
    x = 42,009.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.