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Finding the Fourth Proportional to 46,160.16, 63,702 and 26,016

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Solution

The fourth proportional to 46,160.16, 63,702 and 26,016 is: 35,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,160.16 : 63,702 = 26,016 : x
  2. Step 2: Convert to fraction form
    46,160.16/63,702 = 26,016/x
  3. Step 3: Cross multiply
    46,160.16x = 63,702 × 26,016
  4. Step 4: Simplify right side
    46,160.16x = 1,657,271,232
  5. Step 5: Solve for x
    x = 1,657,271,232/46,160.16
  6. Step 6: Final answer
    x = 35,902.63

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Why These Related Problems?

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