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Finding the Fourth Proportional to 97,530.66, 146,281.05 and 30,962.16

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Solution

The fourth proportional to 97,530.66, 146,281.05 and 30,962.16 is: 46,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,530.66 : 146,281.05 = 30,962.16 : x
  2. Step 2: Convert to fraction form
    97,530.66/146,281.05 = 30,962.16/x
  3. Step 3: Cross multiply
    97,530.66x = 146,281.05 × 30,962.16
  4. Step 4: Simplify right side
    97,530.66x = 4,529,177,275.07
  5. Step 5: Solve for x
    x = 4,529,177,275.07/97,530.66
  6. Step 6: Final answer
    x = 46,438.50

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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.