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Finding the Fourth Proportional to 105,038.17, 157,577.74 and 33,978.42

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Solution

The fourth proportional to 105,038.17, 157,577.74 and 33,978.42 is: 50,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,038.17 : 157,577.74 = 33,978.42 : x
  2. Step 2: Convert to fraction form
    105,038.17/157,577.74 = 33,978.42/x
  3. Step 3: Cross multiply
    105,038.17x = 157,577.74 × 33,978.42
  4. Step 4: Simplify right side
    105,038.17x = 5,354,242,547.42
  5. Step 5: Solve for x
    x = 5,354,242,547.42/105,038.17
  6. Step 6: Final answer
    x = 50,974.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.