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Finding the Fourth Proportional to 46,284.76, 69,416.32 and 13,008.03

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Solution

The fourth proportional to 46,284.76, 69,416.32 and 13,008.03 is: 19,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284.76 : 69,416.32 = 13,008.03 : x
  2. Step 2: Convert to fraction form
    46,284.76/69,416.32 = 13,008.03/x
  3. Step 3: Cross multiply
    46,284.76x = 69,416.32 × 13,008.03
  4. Step 4: Simplify right side
    46,284.76x = 902,969,573.05
  5. Step 5: Solve for x
    x = 902,969,573.05/46,284.76
  6. Step 6: Final answer
    x = 19,509.00

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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.