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Finding the Fourth Proportional to 30,342.40, 42,012.48 and 28,009.60

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Solution

The fourth proportional to 30,342.40, 42,012.48 and 28,009.60 is: 38,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342.40 : 42,012.48 = 28,009.60 : x
  2. Step 2: Convert to fraction form
    30,342.40/42,012.48 = 28,009.60/x
  3. Step 3: Cross multiply
    30,342.40x = 42,012.48 × 28,009.60
  4. Step 4: Simplify right side
    30,342.40x = 1,176,752,759.81
  5. Step 5: Solve for x
    x = 1,176,752,759.81/30,342.40
  6. Step 6: Final answer
    x = 38,782.45

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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.