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Finding the Fourth Proportional to 46,219, 63,782.24 and 29,461.72

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Solution

The fourth proportional to 46,219, 63,782.24 and 29,461.72 is: 40,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,219 : 63,782.24 = 29,461.72 : x
  2. Step 2: Convert to fraction form
    46,219/63,782.24 = 29,461.72/x
  3. Step 3: Cross multiply
    46,219x = 63,782.24 × 29,461.72
  4. Step 4: Simplify right side
    46,219x = 1,879,134,495.85
  5. Step 5: Solve for x
    x = 1,879,134,495.85/46,219
  6. Step 6: Final answer
    x = 40,657.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.