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Finding the Fourth Proportional to 106,990.02, 147,648.54 and 58,594

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Solution

The fourth proportional to 106,990.02, 147,648.54 and 58,594 is: 80,860.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,990.02 : 147,648.54 = 58,594 : x
  2. Step 2: Convert to fraction form
    106,990.02/147,648.54 = 58,594/x
  3. Step 3: Cross multiply
    106,990.02x = 147,648.54 × 58,594
  4. Step 4: Simplify right side
    106,990.02x = 8,651,318,552.76
  5. Step 5: Solve for x
    x = 8,651,318,552.76/106,990.02
  6. Step 6: Final answer
    x = 80,860.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.