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Finding the Fourth Proportional to 31,124.42, 46,692.70 and 10,069.68

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Solution

The fourth proportional to 31,124.42, 46,692.70 and 10,069.68 is: 15,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.42 : 46,692.70 = 10,069.68 : x
  2. Step 2: Convert to fraction form
    31,124.42/46,692.70 = 10,069.68/x
  3. Step 3: Cross multiply
    31,124.42x = 46,692.70 × 10,069.68
  4. Step 4: Simplify right side
    31,124.42x = 470,180,547.34
  5. Step 5: Solve for x
    x = 470,180,547.34/31,124.42
  6. Step 6: Final answer
    x = 15,106.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.