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Finding the Fourth Proportional to 35,871.60, 53,783.10 and 19,007.40

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Solution

The fourth proportional to 35,871.60, 53,783.10 and 19,007.40 is: 28,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,871.60 : 53,783.10 = 19,007.40 : x
  2. Step 2: Convert to fraction form
    35,871.60/53,783.10 = 19,007.40/x
  3. Step 3: Cross multiply
    35,871.60x = 53,783.10 × 19,007.40
  4. Step 4: Simplify right side
    35,871.60x = 1,022,276,894.94
  5. Step 5: Solve for x
    x = 1,022,276,894.94/35,871.60
  6. Step 6: Final answer
    x = 28,498.22

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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.