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Finding the Fourth Proportional to 30,925.92, 46,397.52 and 10,164

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Solution

The fourth proportional to 30,925.92, 46,397.52 and 10,164 is: 15,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,925.92 : 46,397.52 = 10,164 : x
  2. Step 2: Convert to fraction form
    30,925.92/46,397.52 = 10,164/x
  3. Step 3: Cross multiply
    30,925.92x = 46,397.52 × 10,164
  4. Step 4: Simplify right side
    30,925.92x = 471,584,393.28
  5. Step 5: Solve for x
    x = 471,584,393.28/30,925.92
  6. Step 6: Final answer
    x = 15,248.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.