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Finding the Fourth Proportional to 70,646.88, 105,957.54 and 28,525.20

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Solution

The fourth proportional to 70,646.88, 105,957.54 and 28,525.20 is: 42,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,646.88 : 105,957.54 = 28,525.20 : x
  2. Step 2: Convert to fraction form
    70,646.88/105,957.54 = 28,525.20/x
  3. Step 3: Cross multiply
    70,646.88x = 105,957.54 × 28,525.20
  4. Step 4: Simplify right side
    70,646.88x = 3,022,460,020.01
  5. Step 5: Solve for x
    x = 3,022,460,020.01/70,646.88
  6. Step 6: Final answer
    x = 42,782.64

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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.