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Finding the Fourth Proportional to 53,135.94, 79,703.94 and 29,458.02

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Solution

The fourth proportional to 53,135.94, 79,703.94 and 29,458.02 is: 44,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,135.94 : 79,703.94 = 29,458.02 : x
  2. Step 2: Convert to fraction form
    53,135.94/79,703.94 = 29,458.02/x
  3. Step 3: Cross multiply
    53,135.94x = 79,703.94 × 29,458.02
  4. Step 4: Simplify right side
    53,135.94x = 2,347,920,258.60
  5. Step 5: Solve for x
    x = 2,347,920,258.60/53,135.94
  6. Step 6: Final answer
    x = 44,187.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.