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Finding the Fourth Proportional to 56,486.80, 77,888.16 and 46,246

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Solution

The fourth proportional to 56,486.80, 77,888.16 and 46,246 is: 63,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,486.80 : 77,888.16 = 46,246 : x
  2. Step 2: Convert to fraction form
    56,486.80/77,888.16 = 46,246/x
  3. Step 3: Cross multiply
    56,486.80x = 77,888.16 × 46,246
  4. Step 4: Simplify right side
    56,486.80x = 3,602,015,847.36
  5. Step 5: Solve for x
    x = 3,602,015,847.36/56,486.80
  6. Step 6: Final answer
    x = 63,767.39

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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.