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Finding the Fourth Proportional to 52,196, 72,030.56 and 29,840.48

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Solution

The fourth proportional to 52,196, 72,030.56 and 29,840.48 is: 41,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,196 : 72,030.56 = 29,840.48 : x
  2. Step 2: Convert to fraction form
    52,196/72,030.56 = 29,840.48/x
  3. Step 3: Cross multiply
    52,196x = 72,030.56 × 29,840.48
  4. Step 4: Simplify right side
    52,196x = 2,149,426,485.07
  5. Step 5: Solve for x
    x = 2,149,426,485.07/52,196
  6. Step 6: Final answer
    x = 41,179.91

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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.