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Finding the Fourth Proportional to 59,522.80, 89,284.20 and 46,385

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Solution

The fourth proportional to 59,522.80, 89,284.20 and 46,385 is: 69,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,522.80 : 89,284.20 = 46,385 : x
  2. Step 2: Convert to fraction form
    59,522.80/89,284.20 = 46,385/x
  3. Step 3: Cross multiply
    59,522.80x = 89,284.20 × 46,385
  4. Step 4: Simplify right side
    59,522.80x = 4,141,447,617
  5. Step 5: Solve for x
    x = 4,141,447,617/59,522.80
  6. Step 6: Final answer
    x = 69,577.50

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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.