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Finding the Fourth Proportional to 65,828.86, 90,830.40 and 38,957.92

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Solution

The fourth proportional to 65,828.86, 90,830.40 and 38,957.92 is: 53,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,828.86 : 90,830.40 = 38,957.92 : x
  2. Step 2: Convert to fraction form
    65,828.86/90,830.40 = 38,957.92/x
  3. Step 3: Cross multiply
    65,828.86x = 90,830.40 × 38,957.92
  4. Step 4: Simplify right side
    65,828.86x = 3,538,563,456.77
  5. Step 5: Solve for x
    x = 3,538,563,456.77/65,828.86
  6. Step 6: Final answer
    x = 53,753.98

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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.