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Finding the Fourth Proportional to 57,852.65, 86,859.28 and 29,792.77

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Solution

The fourth proportional to 57,852.65, 86,859.28 and 29,792.77 is: 44,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,852.65 : 86,859.28 = 29,792.77 : x
  2. Step 2: Convert to fraction form
    57,852.65/86,859.28 = 29,792.77/x
  3. Step 3: Cross multiply
    57,852.65x = 86,859.28 × 29,792.77
  4. Step 4: Simplify right side
    57,852.65x = 2,587,778,117.11
  5. Step 5: Solve for x
    x = 2,587,778,117.11/57,852.65
  6. Step 6: Final answer
    x = 44,730.50

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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.