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Finding the Fourth Proportional to 118,038, 177,091.68 and 34,934.16

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Solution

The fourth proportional to 118,038, 177,091.68 and 34,934.16 is: 52,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,038 : 177,091.68 = 34,934.16 : x
  2. Step 2: Convert to fraction form
    118,038/177,091.68 = 34,934.16/x
  3. Step 3: Cross multiply
    118,038x = 177,091.68 × 34,934.16
  4. Step 4: Simplify right side
    118,038x = 6,186,549,083.79
  5. Step 5: Solve for x
    x = 6,186,549,083.79/118,038
  6. Step 6: Final answer
    x = 52,411.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.