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Finding the Fourth Proportional to 56,407.95, 77,830.02 and 33,743.34

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Solution

The fourth proportional to 56,407.95, 77,830.02 and 33,743.34 is: 46,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,407.95 : 77,830.02 = 33,743.34 : x
  2. Step 2: Convert to fraction form
    56,407.95/77,830.02 = 33,743.34/x
  3. Step 3: Cross multiply
    56,407.95x = 77,830.02 × 33,743.34
  4. Step 4: Simplify right side
    56,407.95x = 2,626,244,827.07
  5. Step 5: Solve for x
    x = 2,626,244,827.07/56,407.95
  6. Step 6: Final answer
    x = 46,558.06

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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.