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Finding the Fourth Proportional to 38,701.16, 58,077.62 and 14,077.16

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Solution

The fourth proportional to 38,701.16, 58,077.62 and 14,077.16 is: 21,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,701.16 : 58,077.62 = 14,077.16 : x
  2. Step 2: Convert to fraction form
    38,701.16/58,077.62 = 14,077.16/x
  3. Step 3: Cross multiply
    38,701.16x = 58,077.62 × 14,077.16
  4. Step 4: Simplify right side
    38,701.16x = 817,567,693.96
  5. Step 5: Solve for x
    x = 817,567,693.96/38,701.16
  6. Step 6: Final answer
    x = 21,125.15

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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.