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Finding the Fourth Proportional to 105,580.38, 145,700.96 and 57,835.45

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Solution

The fourth proportional to 105,580.38, 145,700.96 and 57,835.45 is: 79,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,580.38 : 145,700.96 = 57,835.45 : x
  2. Step 2: Convert to fraction form
    105,580.38/145,700.96 = 57,835.45/x
  3. Step 3: Cross multiply
    105,580.38x = 145,700.96 × 57,835.45
  4. Step 4: Simplify right side
    105,580.38x = 8,426,680,587.03
  5. Step 5: Solve for x
    x = 8,426,680,587.03/105,580.38
  6. Step 6: Final answer
    x = 79,812.94

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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.