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Finding the Fourth Proportional to 114,700, 172,050 and 31,594

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Solution

The fourth proportional to 114,700, 172,050 and 31,594 is: 47,391

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,700 : 172,050 = 31,594 : x
  2. Step 2: Convert to fraction form
    114,700/172,050 = 31,594/x
  3. Step 3: Cross multiply
    114,700x = 172,050 × 31,594
  4. Step 4: Simplify right side
    114,700x = 5,435,747,700
  5. Step 5: Solve for x
    x = 5,435,747,700/114,700
  6. Step 6: Final answer
    x = 47,391

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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.