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Finding the Fourth Proportional to 106,559.46, 147,051.03 and 58,811.76

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Solution

The fourth proportional to 106,559.46, 147,051.03 and 58,811.76 is: 81,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,559.46 : 147,051.03 = 58,811.76 : x
  2. Step 2: Convert to fraction form
    106,559.46/147,051.03 = 58,811.76/x
  3. Step 3: Cross multiply
    106,559.46x = 147,051.03 × 58,811.76
  4. Step 4: Simplify right side
    106,559.46x = 8,648,329,884.11
  5. Step 5: Solve for x
    x = 8,648,329,884.11/106,559.46
  6. Step 6: Final answer
    x = 81,159.66

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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.