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Finding the Fourth Proportional to 76,370, 105,392.04 and 42,838.16

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Solution

The fourth proportional to 76,370, 105,392.04 and 42,838.16 is: 59,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,370 : 105,392.04 = 42,838.16 : x
  2. Step 2: Convert to fraction form
    76,370/105,392.04 = 42,838.16/x
  3. Step 3: Cross multiply
    76,370x = 105,392.04 × 42,838.16
  4. Step 4: Simplify right side
    76,370x = 4,514,801,072.25
  5. Step 5: Solve for x
    x = 4,514,801,072.25/76,370
  6. Step 6: Final answer
    x = 59,117.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.