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Finding the Fourth Proportional to 96,947, 133,788.48 and 53,341.52

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Solution

The fourth proportional to 96,947, 133,788.48 and 53,341.52 is: 73,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,947 : 133,788.48 = 53,341.52 : x
  2. Step 2: Convert to fraction form
    96,947/133,788.48 = 53,341.52/x
  3. Step 3: Cross multiply
    96,947x = 133,788.48 × 53,341.52
  4. Step 4: Simplify right side
    96,947x = 7,136,480,881.69
  5. Step 5: Solve for x
    x = 7,136,480,881.69/96,947
  6. Step 6: Final answer
    x = 73,612.19

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1.5x scale

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.