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Finding the Fourth Proportional to 116,594.12, 174,896.64 and 37,714.50

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Solution

The fourth proportional to 116,594.12, 174,896.64 and 37,714.50 is: 56,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,594.12 : 174,896.64 = 37,714.50 : x
  2. Step 2: Convert to fraction form
    116,594.12/174,896.64 = 37,714.50/x
  3. Step 3: Cross multiply
    116,594.12x = 174,896.64 × 37,714.50
  4. Step 4: Simplify right side
    116,594.12x = 6,596,139,329.28
  5. Step 5: Solve for x
    x = 6,596,139,329.28/116,594.12
  6. Step 6: Final answer
    x = 56,573.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.