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Finding the Fourth Proportional to 102,312.69, 153,469.34 and 35,752.83

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Solution

The fourth proportional to 102,312.69, 153,469.34 and 35,752.83 is: 53,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,312.69 : 153,469.34 = 35,752.83 : x
  2. Step 2: Convert to fraction form
    102,312.69/153,469.34 = 35,752.83/x
  3. Step 3: Cross multiply
    102,312.69x = 153,469.34 × 35,752.83
  4. Step 4: Simplify right side
    102,312.69x = 5,486,963,044.47
  5. Step 5: Solve for x
    x = 5,486,963,044.47/102,312.69
  6. Step 6: Final answer
    x = 53,629.35

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1.5x scale

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.