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Finding the Fourth Proportional to 114,710.58, 172,090.17 and 35,830.76

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Solution

The fourth proportional to 114,710.58, 172,090.17 and 35,830.76 is: 53,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,710.58 : 172,090.17 = 35,830.76 : x
  2. Step 2: Convert to fraction form
    114,710.58/172,090.17 = 35,830.76/x
  3. Step 3: Cross multiply
    114,710.58x = 172,090.17 × 35,830.76
  4. Step 4: Simplify right side
    114,710.58x = 6,166,120,719.18
  5. Step 5: Solve for x
    x = 6,166,120,719.18/114,710.58
  6. Step 6: Final answer
    x = 53,753.72

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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.