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Finding the Fourth Proportional to 56,214, 77,575.32 and 33,862.32

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Solution

The fourth proportional to 56,214, 77,575.32 and 33,862.32 is: 46,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,214 : 77,575.32 = 33,862.32 : x
  2. Step 2: Convert to fraction form
    56,214/77,575.32 = 33,862.32/x
  3. Step 3: Cross multiply
    56,214x = 77,575.32 × 33,862.32
  4. Step 4: Simplify right side
    56,214x = 2,626,880,309.94
  5. Step 5: Solve for x
    x = 2,626,880,309.94/56,214
  6. Step 6: Final answer
    x = 46,730.00

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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.