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Finding the Fourth Proportional to 45,312, 62,534.40 and 25,443.84

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Solution

The fourth proportional to 45,312, 62,534.40 and 25,443.84 is: 35,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312 : 62,534.40 = 25,443.84 : x
  2. Step 2: Convert to fraction form
    45,312/62,534.40 = 25,443.84/x
  3. Step 3: Cross multiply
    45,312x = 62,534.40 × 25,443.84
  4. Step 4: Simplify right side
    45,312x = 1,591,115,268.10
  5. Step 5: Solve for x
    x = 1,591,115,268.10/45,312
  6. Step 6: Final answer
    x = 35,114.66

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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.