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Finding the Fourth Proportional to 105,266.79, 157,895.12 and 38,702.31

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Solution

The fourth proportional to 105,266.79, 157,895.12 and 38,702.31 is: 58,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,266.79 : 157,895.12 = 38,702.31 : x
  2. Step 2: Convert to fraction form
    105,266.79/157,895.12 = 38,702.31/x
  3. Step 3: Cross multiply
    105,266.79x = 157,895.12 × 38,702.31
  4. Step 4: Simplify right side
    105,266.79x = 6,110,905,386.38
  5. Step 5: Solve for x
    x = 6,110,905,386.38/105,266.79
  6. Step 6: Final answer
    x = 58,051.60

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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.