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Finding the Fourth Proportional to 97,907.40, 146,861.10 and 31,349.70

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Solution

The fourth proportional to 97,907.40, 146,861.10 and 31,349.70 is: 47,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,907.40 : 146,861.10 = 31,349.70 : x
  2. Step 2: Convert to fraction form
    97,907.40/146,861.10 = 31,349.70/x
  3. Step 3: Cross multiply
    97,907.40x = 146,861.10 × 31,349.70
  4. Step 4: Simplify right side
    97,907.40x = 4,604,051,426.67
  5. Step 5: Solve for x
    x = 4,604,051,426.67/97,907.40
  6. Step 6: Final answer
    x = 47,024.55

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1.5x scale

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.