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Finding the Fourth Proportional to 97,470.96, 134,510.45 and 57,185.50

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Solution

The fourth proportional to 97,470.96, 134,510.45 and 57,185.50 is: 78,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,470.96 : 134,510.45 = 57,185.50 : x
  2. Step 2: Convert to fraction form
    97,470.96/134,510.45 = 57,185.50/x
  3. Step 3: Cross multiply
    97,470.96x = 134,510.45 × 57,185.50
  4. Step 4: Simplify right side
    97,470.96x = 7,692,047,338.48
  5. Step 5: Solve for x
    x = 7,692,047,338.48/97,470.96
  6. Step 6: Final answer
    x = 78,916.30

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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.