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Finding the Fourth Proportional to 103,535.80, 155,303.70 and 36,978.10

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Solution

The fourth proportional to 103,535.80, 155,303.70 and 36,978.10 is: 55,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,535.80 : 155,303.70 = 36,978.10 : x
  2. Step 2: Convert to fraction form
    103,535.80/155,303.70 = 36,978.10/x
  3. Step 3: Cross multiply
    103,535.80x = 155,303.70 × 36,978.10
  4. Step 4: Simplify right side
    103,535.80x = 5,742,835,748.97
  5. Step 5: Solve for x
    x = 5,742,835,748.97/103,535.80
  6. Step 6: Final answer
    x = 55,467.15

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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.