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Finding the Fourth Proportional to 97,307.30, 134,283.98 and 52,595.30

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Solution

The fourth proportional to 97,307.30, 134,283.98 and 52,595.30 is: 72,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,307.30 : 134,283.98 = 52,595.30 : x
  2. Step 2: Convert to fraction form
    97,307.30/134,283.98 = 52,595.30/x
  3. Step 3: Cross multiply
    97,307.30x = 134,283.98 × 52,595.30
  4. Step 4: Simplify right side
    97,307.30x = 7,062,706,213.29
  5. Step 5: Solve for x
    x = 7,062,706,213.29/97,307.30
  6. Step 6: Final answer
    x = 72,581.46

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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.