Home / 102,097.84-153,146.76-31,982.64

Finding the Fourth Proportional to 102,097.84, 153,146.76 and 31,982.64

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Solution

The fourth proportional to 102,097.84, 153,146.76 and 31,982.64 is: 47,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,097.84 : 153,146.76 = 31,982.64 : x
  2. Step 2: Convert to fraction form
    102,097.84/153,146.76 = 31,982.64/x
  3. Step 3: Cross multiply
    102,097.84x = 153,146.76 × 31,982.64
  4. Step 4: Simplify right side
    102,097.84x = 4,898,037,692.25
  5. Step 5: Solve for x
    x = 4,898,037,692.25/102,097.84
  6. Step 6: Final answer
    x = 47,973.96

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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.