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Finding the Fourth Proportional to 105,697.76, 145,862.14 and 57,950.32

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Solution

The fourth proportional to 105,697.76, 145,862.14 and 57,950.32 is: 79,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,697.76 : 145,862.14 = 57,950.32 : x
  2. Step 2: Convert to fraction form
    105,697.76/145,862.14 = 57,950.32/x
  3. Step 3: Cross multiply
    105,697.76x = 145,862.14 × 57,950.32
  4. Step 4: Simplify right side
    105,697.76x = 8,452,757,688.88
  5. Step 5: Solve for x
    x = 8,452,757,688.88/105,697.76
  6. Step 6: Final answer
    x = 79,971.02

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1.5x scale

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.