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Finding the Fourth Proportional to 52,510.64, 72,432.12 and 31,277.36

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Solution

The fourth proportional to 52,510.64, 72,432.12 and 31,277.36 is: 43,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,510.64 : 72,432.12 = 31,277.36 : x
  2. Step 2: Convert to fraction form
    52,510.64/72,432.12 = 31,277.36/x
  3. Step 3: Cross multiply
    52,510.64x = 72,432.12 × 31,277.36
  4. Step 4: Simplify right side
    52,510.64x = 2,265,485,492.80
  5. Step 5: Solve for x
    x = 2,265,485,492.80/52,510.64
  6. Step 6: Final answer
    x = 43,143.36

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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.