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Finding the Fourth Proportional to 83,497.60, 115,271.04 and 56,782.72

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Solution

The fourth proportional to 83,497.60, 115,271.04 and 56,782.72 is: 78,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,497.60 : 115,271.04 = 56,782.72 : x
  2. Step 2: Convert to fraction form
    83,497.60/115,271.04 = 56,782.72/x
  3. Step 3: Cross multiply
    83,497.60x = 115,271.04 × 56,782.72
  4. Step 4: Simplify right side
    83,497.60x = 6,545,403,188.43
  5. Step 5: Solve for x
    x = 6,545,403,188.43/83,497.60
  6. Step 6: Final answer
    x = 78,390.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.