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Finding the Fourth Proportional to 101,605.40, 152,506.47 and 49,051.76

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Solution

The fourth proportional to 101,605.40, 152,506.47 and 49,051.76 is: 73,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,605.40 : 152,506.47 = 49,051.76 : x
  2. Step 2: Convert to fraction form
    101,605.40/152,506.47 = 49,051.76/x
  3. Step 3: Cross multiply
    101,605.40x = 152,506.47 × 49,051.76
  4. Step 4: Simplify right side
    101,605.40x = 7,480,710,764.89
  5. Step 5: Solve for x
    x = 7,480,710,764.89/101,605.40
  6. Step 6: Final answer
    x = 73,625.13

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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.