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Finding the Fourth Proportional to 38,337.40, 52,782.18 and 29,829.16

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Solution

The fourth proportional to 38,337.40, 52,782.18 and 29,829.16 is: 41,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,337.40 : 52,782.18 = 29,829.16 : x
  2. Step 2: Convert to fraction form
    38,337.40/52,782.18 = 29,829.16/x
  3. Step 3: Cross multiply
    38,337.40x = 52,782.18 × 29,829.16
  4. Step 4: Simplify right side
    38,337.40x = 1,574,448,092.37
  5. Step 5: Solve for x
    x = 1,574,448,092.37/38,337.40
  6. Step 6: Final answer
    x = 41,068.20

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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.