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Finding the Fourth Proportional to 116,595.62, 174,898.89 and 37,716

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Solution

The fourth proportional to 116,595.62, 174,898.89 and 37,716 is: 56,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,595.62 : 174,898.89 = 37,716 : x
  2. Step 2: Convert to fraction form
    116,595.62/174,898.89 = 37,716/x
  3. Step 3: Cross multiply
    116,595.62x = 174,898.89 × 37,716
  4. Step 4: Simplify right side
    116,595.62x = 6,596,486,535.24
  5. Step 5: Solve for x
    x = 6,596,486,535.24/116,595.62
  6. Step 6: Final answer
    x = 56,575.77

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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.