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Finding the Fourth Proportional to 46,513.52, 69,746.76 and 15,338.48

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Solution

The fourth proportional to 46,513.52, 69,746.76 and 15,338.48 is: 22,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,513.52 : 69,746.76 = 15,338.48 : x
  2. Step 2: Convert to fraction form
    46,513.52/69,746.76 = 15,338.48/x
  3. Step 3: Cross multiply
    46,513.52x = 69,746.76 × 15,338.48
  4. Step 4: Simplify right side
    46,513.52x = 1,069,809,283.32
  5. Step 5: Solve for x
    x = 1,069,809,283.32/46,513.52
  6. Step 6: Final answer
    x = 22,999.96

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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.