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Finding the Fourth Proportional to 97,953.40, 146,929.47 and 47,293.30

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Solution

The fourth proportional to 97,953.40, 146,929.47 and 47,293.30 is: 70,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,953.40 : 146,929.47 = 47,293.30 : x
  2. Step 2: Convert to fraction form
    97,953.40/146,929.47 = 47,293.30/x
  3. Step 3: Cross multiply
    97,953.40x = 146,929.47 × 47,293.30
  4. Step 4: Simplify right side
    97,953.40x = 6,948,779,503.55
  5. Step 5: Solve for x
    x = 6,948,779,503.55/97,953.40
  6. Step 6: Final answer
    x = 70,939.65

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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.