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Finding the Fourth Proportional to 103,477.88, 155,167.68 and 47,301.32

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Solution

The fourth proportional to 103,477.88, 155,167.68 and 47,301.32 is: 70,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,477.88 : 155,167.68 = 47,301.32 : x
  2. Step 2: Convert to fraction form
    103,477.88/155,167.68 = 47,301.32/x
  3. Step 3: Cross multiply
    103,477.88x = 155,167.68 × 47,301.32
  4. Step 4: Simplify right side
    103,477.88x = 7,339,636,085.34
  5. Step 5: Solve for x
    x = 7,339,636,085.34/103,477.88
  6. Step 6: Final answer
    x = 70,929.52

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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.