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Finding the Fourth Proportional to 75,254, 112,866.54 and 37,804.04

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Solution

The fourth proportional to 75,254, 112,866.54 and 37,804.04 is: 56,698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,254 : 112,866.54 = 37,804.04 : x
  2. Step 2: Convert to fraction form
    75,254/112,866.54 = 37,804.04/x
  3. Step 3: Cross multiply
    75,254x = 112,866.54 × 37,804.04
  4. Step 4: Simplify right side
    75,254x = 4,266,811,192.82
  5. Step 5: Solve for x
    x = 4,266,811,192.82/75,254
  6. Step 6: Final answer
    x = 56,698.80

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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.