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Finding the Fourth Proportional to 46,409.76, 64,013.76 and 29,635.20

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Solution

The fourth proportional to 46,409.76, 64,013.76 and 29,635.20 is: 40,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,409.76 : 64,013.76 = 29,635.20 : x
  2. Step 2: Convert to fraction form
    46,409.76/64,013.76 = 29,635.20/x
  3. Step 3: Cross multiply
    46,409.76x = 64,013.76 × 29,635.20
  4. Step 4: Simplify right side
    46,409.76x = 1,897,060,580.35
  5. Step 5: Solve for x
    x = 1,897,060,580.35/46,409.76
  6. Step 6: Final answer
    x = 40,876.33

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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.