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Finding the Fourth Proportional to 56,828.60, 85,133.76 and 31,792.77

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Solution

The fourth proportional to 56,828.60, 85,133.76 and 31,792.77 is: 47,628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,828.60 : 85,133.76 = 31,792.77 : x
  2. Step 2: Convert to fraction form
    56,828.60/85,133.76 = 31,792.77/x
  3. Step 3: Cross multiply
    56,828.60x = 85,133.76 × 31,792.77
  4. Step 4: Simplify right side
    56,828.60x = 2,706,638,050.92
  5. Step 5: Solve for x
    x = 2,706,638,050.92/56,828.60
  6. Step 6: Final answer
    x = 47,628.10

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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.