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Finding the Fourth Proportional to 97,462.16, 134,497.76 and 52,750.16

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Solution

The fourth proportional to 97,462.16, 134,497.76 and 52,750.16 is: 72,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,462.16 : 134,497.76 = 52,750.16 : x
  2. Step 2: Convert to fraction form
    97,462.16/134,497.76 = 52,750.16/x
  3. Step 3: Cross multiply
    97,462.16x = 134,497.76 × 52,750.16
  4. Step 4: Simplify right side
    97,462.16x = 7,094,778,359.64
  5. Step 5: Solve for x
    x = 7,094,778,359.64/97,462.16
  6. Step 6: Final answer
    x = 72,795.21

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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.