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Finding the Fourth Proportional to 52,058.60, 71,961.93 and 46,448.95

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Solution

The fourth proportional to 52,058.60, 71,961.93 and 46,448.95 is: 64,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,058.60 : 71,961.93 = 46,448.95 : x
  2. Step 2: Convert to fraction form
    52,058.60/71,961.93 = 46,448.95/x
  3. Step 3: Cross multiply
    52,058.60x = 71,961.93 × 46,448.95
  4. Step 4: Simplify right side
    52,058.60x = 3,342,556,088.47
  5. Step 5: Solve for x
    x = 3,342,556,088.47/52,058.60
  6. Step 6: Final answer
    x = 64,207.57

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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.