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Finding the Fourth Proportional to 103,038.30, 154,564.65 and 40,700.70

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Solution

The fourth proportional to 103,038.30, 154,564.65 and 40,700.70 is: 61,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,038.30 : 154,564.65 = 40,700.70 : x
  2. Step 2: Convert to fraction form
    103,038.30/154,564.65 = 40,700.70/x
  3. Step 3: Cross multiply
    103,038.30x = 154,564.65 × 40,700.70
  4. Step 4: Simplify right side
    103,038.30x = 6,290,889,450.26
  5. Step 5: Solve for x
    x = 6,290,889,450.26/103,038.30
  6. Step 6: Final answer
    x = 61,053.89

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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.