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Finding the Fourth Proportional to 107,038.08, 147,699.72 and 61,731

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Solution

The fourth proportional to 107,038.08, 147,699.72 and 61,731 is: 85,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,038.08 : 147,699.72 = 61,731 : x
  2. Step 2: Convert to fraction form
    107,038.08/147,699.72 = 61,731/x
  3. Step 3: Cross multiply
    107,038.08x = 147,699.72 × 61,731
  4. Step 4: Simplify right side
    107,038.08x = 9,117,651,415.32
  5. Step 5: Solve for x
    x = 9,117,651,415.32/107,038.08
  6. Step 6: Final answer
    x = 85,181.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.