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Finding the Fourth Proportional to 32,053, 44,238 and 19,475.32

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Solution

The fourth proportional to 32,053, 44,238 and 19,475.32 is: 26,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053 : 44,238 = 19,475.32 : x
  2. Step 2: Convert to fraction form
    32,053/44,238 = 19,475.32/x
  3. Step 3: Cross multiply
    32,053x = 44,238 × 19,475.32
  4. Step 4: Simplify right side
    32,053x = 861,549,206.16
  5. Step 5: Solve for x
    x = 861,549,206.16/32,053
  6. Step 6: Final answer
    x = 26,878.89

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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.