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Finding the Fourth Proportional to 105,785.68, 145,979.40 and 58,038.04

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Solution

The fourth proportional to 105,785.68, 145,979.40 and 58,038.04 is: 80,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,785.68 : 145,979.40 = 58,038.04 : x
  2. Step 2: Convert to fraction form
    105,785.68/145,979.40 = 58,038.04/x
  3. Step 3: Cross multiply
    105,785.68x = 145,979.40 × 58,038.04
  4. Step 4: Simplify right side
    105,785.68x = 8,472,358,256.38
  5. Step 5: Solve for x
    x = 8,472,358,256.38/105,785.68
  6. Step 6: Final answer
    x = 80,089.84

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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.