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Finding the Fourth Proportional to 97,688.53, 146,365.71 and 53,346.52

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Solution

The fourth proportional to 97,688.53, 146,365.71 and 53,346.52 is: 79,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,688.53 : 146,365.71 = 53,346.52 : x
  2. Step 2: Convert to fraction form
    97,688.53/146,365.71 = 53,346.52/x
  3. Step 3: Cross multiply
    97,688.53x = 146,365.71 × 53,346.52
  4. Step 4: Simplify right side
    97,688.53x = 7,808,101,275.83
  5. Step 5: Solve for x
    x = 7,808,101,275.83/97,688.53
  6. Step 6: Final answer
    x = 79,928.54

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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.