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Finding the Fourth Proportional to 57,875.40, 81,142.20 and 57,875.40

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Solution

The fourth proportional to 57,875.40, 81,142.20 and 57,875.40 is: 81,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,875.40 : 81,142.20 = 57,875.40 : x
  2. Step 2: Convert to fraction form
    57,875.40/81,142.20 = 57,875.40/x
  3. Step 3: Cross multiply
    57,875.40x = 81,142.20 × 57,875.40
  4. Step 4: Simplify right side
    57,875.40x = 4,696,137,281.88
  5. Step 5: Solve for x
    x = 4,696,137,281.88/57,875.40
  6. Step 6: Final answer
    x = 81,142.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.