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Finding the Fourth Proportional to 52,658, 72,668.04 and 29,106

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Solution

The fourth proportional to 52,658, 72,668.04 and 29,106 is: 40,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,658 : 72,668.04 = 29,106 : x
  2. Step 2: Convert to fraction form
    52,658/72,668.04 = 29,106/x
  3. Step 3: Cross multiply
    52,658x = 72,668.04 × 29,106
  4. Step 4: Simplify right side
    52,658x = 2,115,075,972.24
  5. Step 5: Solve for x
    x = 2,115,075,972.24/52,658
  6. Step 6: Final answer
    x = 40,166.28

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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.