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Finding the Fourth Proportional to 75,211.40, 112,817.10 and 30,823.40

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Solution

The fourth proportional to 75,211.40, 112,817.10 and 30,823.40 is: 46,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,211.40 : 112,817.10 = 30,823.40 : x
  2. Step 2: Convert to fraction form
    75,211.40/112,817.10 = 30,823.40/x
  3. Step 3: Cross multiply
    75,211.40x = 112,817.10 × 30,823.40
  4. Step 4: Simplify right side
    75,211.40x = 3,477,406,600.14
  5. Step 5: Solve for x
    x = 3,477,406,600.14/75,211.40
  6. Step 6: Final answer
    x = 46,235.10

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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.