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Finding the Fourth Proportional to 46,552.87, 69,829.95 and 11,492.50

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Solution

The fourth proportional to 46,552.87, 69,829.95 and 11,492.50 is: 17,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,552.87 : 69,829.95 = 11,492.50 : x
  2. Step 2: Convert to fraction form
    46,552.87/69,829.95 = 11,492.50/x
  3. Step 3: Cross multiply
    46,552.87x = 69,829.95 × 11,492.50
  4. Step 4: Simplify right side
    46,552.87x = 802,520,700.38
  5. Step 5: Solve for x
    x = 802,520,700.38/46,552.87
  6. Step 6: Final answer
    x = 17,238.91

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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.