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Finding the Fourth Proportional to 105,577.32, 145,700.46 and 57,832.68

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Solution

The fourth proportional to 105,577.32, 145,700.46 and 57,832.68 is: 79,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,577.32 : 145,700.46 = 57,832.68 : x
  2. Step 2: Convert to fraction form
    105,577.32/145,700.46 = 57,832.68/x
  3. Step 3: Cross multiply
    105,577.32x = 145,700.46 × 57,832.68
  4. Step 4: Simplify right side
    105,577.32x = 8,426,248,079.03
  5. Step 5: Solve for x
    x = 8,426,248,079.03/105,577.32
  6. Step 6: Final answer
    x = 79,811.16

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