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Finding the Fourth Proportional to 46,902, 64,725.48 and 25,683.24

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Solution

The fourth proportional to 46,902, 64,725.48 and 25,683.24 is: 35,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,902 : 64,725.48 = 25,683.24 : x
  2. Step 2: Convert to fraction form
    46,902/64,725.48 = 25,683.24/x
  3. Step 3: Cross multiply
    46,902x = 64,725.48 × 25,683.24
  4. Step 4: Simplify right side
    46,902x = 1,662,360,036.96
  5. Step 5: Solve for x
    x = 1,662,360,036.96/46,902
  6. Step 6: Final answer
    x = 35,443.27

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