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Finding the Fourth Proportional to 46,888, 70,328.32 and 20,592.96

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Solution

The fourth proportional to 46,888, 70,328.32 and 20,592.96 is: 30,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,888 : 70,328.32 = 20,592.96 : x
  2. Step 2: Convert to fraction form
    46,888/70,328.32 = 20,592.96/x
  3. Step 3: Cross multiply
    46,888x = 70,328.32 × 20,592.96
  4. Step 4: Simplify right side
    46,888x = 1,448,268,280.63
  5. Step 5: Solve for x
    x = 1,448,268,280.63/46,888
  6. Step 6: Final answer
    x = 30,887.82

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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.