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Finding the Fourth Proportional to 46,673.32, 64,407.76 and 25,453

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Solution

The fourth proportional to 46,673.32, 64,407.76 and 25,453 is: 35,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,673.32 : 64,407.76 = 25,453 : x
  2. Step 2: Convert to fraction form
    46,673.32/64,407.76 = 25,453/x
  3. Step 3: Cross multiply
    46,673.32x = 64,407.76 × 25,453
  4. Step 4: Simplify right side
    46,673.32x = 1,639,370,715.28
  5. Step 5: Solve for x
    x = 1,639,370,715.28/46,673.32
  6. Step 6: Final answer
    x = 35,124.36

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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.