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Finding the Fourth Proportional to 76,053, 104,953.50 and 42,525.48

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Solution

The fourth proportional to 76,053, 104,953.50 and 42,525.48 is: 58,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,053 : 104,953.50 = 42,525.48 : x
  2. Step 2: Convert to fraction form
    76,053/104,953.50 = 42,525.48/x
  3. Step 3: Cross multiply
    76,053x = 104,953.50 × 42,525.48
  4. Step 4: Simplify right side
    76,053x = 4,463,197,965.18
  5. Step 5: Solve for x
    x = 4,463,197,965.18/76,053
  6. Step 6: Final answer
    x = 58,685.36

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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.