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Finding the Fourth Proportional to 46,947.16, 70,420.90 and 11,886.80

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Solution

The fourth proportional to 46,947.16, 70,420.90 and 11,886.80 is: 17,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,947.16 : 70,420.90 = 11,886.80 : x
  2. Step 2: Convert to fraction form
    46,947.16/70,420.90 = 11,886.80/x
  3. Step 3: Cross multiply
    46,947.16x = 70,420.90 × 11,886.80
  4. Step 4: Simplify right side
    46,947.16x = 837,079,154.12
  5. Step 5: Solve for x
    x = 837,079,154.12/46,947.16
  6. Step 6: Final answer
    x = 17,830.24

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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.