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Finding the Fourth Proportional to 46,675.84, 70,012.08 and 13,396.16

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Solution

The fourth proportional to 46,675.84, 70,012.08 and 13,396.16 is: 20,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,675.84 : 70,012.08 = 13,396.16 : x
  2. Step 2: Convert to fraction form
    46,675.84/70,012.08 = 13,396.16/x
  3. Step 3: Cross multiply
    46,675.84x = 70,012.08 × 13,396.16
  4. Step 4: Simplify right side
    46,675.84x = 937,893,025.61
  5. Step 5: Solve for x
    x = 937,893,025.61/46,675.84
  6. Step 6: Final answer
    x = 20,093.76

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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.