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Finding the Fourth Proportional to 97,954.90, 146,931.72 and 47,294.80

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Solution

The fourth proportional to 97,954.90, 146,931.72 and 47,294.80 is: 70,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,954.90 : 146,931.72 = 47,294.80 : x
  2. Step 2: Convert to fraction form
    97,954.90/146,931.72 = 47,294.80/x
  3. Step 3: Cross multiply
    97,954.90x = 146,931.72 × 47,294.80
  4. Step 4: Simplify right side
    97,954.90x = 6,949,106,311.06
  5. Step 5: Solve for x
    x = 6,949,106,311.06/97,954.90
  6. Step 6: Final answer
    x = 70,941.90

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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.