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Finding the Fourth Proportional to 97,308.80, 145,961.76 and 52,925.12

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Solution

The fourth proportional to 97,308.80, 145,961.76 and 52,925.12 is: 79,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,308.80 : 145,961.76 = 52,925.12 : x
  2. Step 2: Convert to fraction form
    97,308.80/145,961.76 = 52,925.12/x
  3. Step 3: Cross multiply
    97,308.80x = 145,961.76 × 52,925.12
  4. Step 4: Simplify right side
    97,308.80x = 7,725,043,663.41
  5. Step 5: Solve for x
    x = 7,725,043,663.41/97,308.80
  6. Step 6: Final answer
    x = 79,386.90

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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.