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Finding the Fourth Proportional to 46,477.36, 69,714.96 and 11,416.96

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Solution

The fourth proportional to 46,477.36, 69,714.96 and 11,416.96 is: 17,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,477.36 : 69,714.96 = 11,416.96 : x
  2. Step 2: Convert to fraction form
    46,477.36/69,714.96 = 11,416.96/x
  3. Step 3: Cross multiply
    46,477.36x = 69,714.96 × 11,416.96
  4. Step 4: Simplify right side
    46,477.36x = 795,932,909.72
  5. Step 5: Solve for x
    x = 795,932,909.72/46,477.36
  6. Step 6: Final answer
    x = 17,125.17

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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.