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Finding the Fourth Proportional to 52,762.46, 72,802.06 and 35,780.54

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Solution

The fourth proportional to 52,762.46, 72,802.06 and 35,780.54 is: 49,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,762.46 : 72,802.06 = 35,780.54 : x
  2. Step 2: Convert to fraction form
    52,762.46/72,802.06 = 35,780.54/x
  3. Step 3: Cross multiply
    52,762.46x = 72,802.06 × 35,780.54
  4. Step 4: Simplify right side
    52,762.46x = 2,604,896,566.45
  5. Step 5: Solve for x
    x = 2,604,896,566.45/52,762.46
  6. Step 6: Final answer
    x = 49,370.27

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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.