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Finding the Fourth Proportional to 70,946.60, 97,825.02 and 53,011.40

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Solution

The fourth proportional to 70,946.60, 97,825.02 and 53,011.40 is: 73,094.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,946.60 : 97,825.02 = 53,011.40 : x
  2. Step 2: Convert to fraction form
    70,946.60/97,825.02 = 53,011.40/x
  3. Step 3: Cross multiply
    70,946.60x = 97,825.02 × 53,011.40
  4. Step 4: Simplify right side
    70,946.60x = 5,185,841,265.23
  5. Step 5: Solve for x
    x = 5,185,841,265.23/70,946.60
  6. Step 6: Final answer
    x = 73,094.99

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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.