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Finding the Fourth Proportional to 60,964, 84,141.84 and 34,468

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Solution

The fourth proportional to 60,964, 84,141.84 and 34,468 is: 47,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,964 : 84,141.84 = 34,468 : x
  2. Step 2: Convert to fraction form
    60,964/84,141.84 = 34,468/x
  3. Step 3: Cross multiply
    60,964x = 84,141.84 × 34,468
  4. Step 4: Simplify right side
    60,964x = 2,900,200,941.12
  5. Step 5: Solve for x
    x = 2,900,200,941.12/60,964
  6. Step 6: Final answer
    x = 47,572.35

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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.