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Finding the Fourth Proportional to 46,058.40, 69,074.64 and 12,770.40

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Solution

The fourth proportional to 46,058.40, 69,074.64 and 12,770.40 is: 19,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,058.40 : 69,074.64 = 12,770.40 : x
  2. Step 2: Convert to fraction form
    46,058.40/69,074.64 = 12,770.40/x
  3. Step 3: Cross multiply
    46,058.40x = 69,074.64 × 12,770.40
  4. Step 4: Simplify right side
    46,058.40x = 882,110,782.66
  5. Step 5: Solve for x
    x = 882,110,782.66/46,058.40
  6. Step 6: Final answer
    x = 19,152.01

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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.