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Finding the Fourth Proportional to 46,655.16, 69,982.48 and 11,594.80

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Solution

The fourth proportional to 46,655.16, 69,982.48 and 11,594.80 is: 17,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,655.16 : 69,982.48 = 11,594.80 : x
  2. Step 2: Convert to fraction form
    46,655.16/69,982.48 = 11,594.80/x
  3. Step 3: Cross multiply
    46,655.16x = 69,982.48 × 11,594.80
  4. Step 4: Simplify right side
    46,655.16x = 811,432,859.10
  5. Step 5: Solve for x
    x = 811,432,859.10/46,655.16
  6. Step 6: Final answer
    x = 17,392.14

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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.