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Finding the Fourth Proportional to 97,783.68, 134,941.14 and 53,071.68

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Solution

The fourth proportional to 97,783.68, 134,941.14 and 53,071.68 is: 73,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,783.68 : 134,941.14 = 53,071.68 : x
  2. Step 2: Convert to fraction form
    97,783.68/134,941.14 = 53,071.68/x
  3. Step 3: Cross multiply
    97,783.68x = 134,941.14 × 53,071.68
  4. Step 4: Simplify right side
    97,783.68x = 7,161,553,000.92
  5. Step 5: Solve for x
    x = 7,161,553,000.92/97,783.68
  6. Step 6: Final answer
    x = 73,238.73

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1.5x scale

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.