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Finding the Fourth Proportional to 97,595.74, 134,681 and 52,883.74

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Solution

The fourth proportional to 97,595.74, 134,681 and 52,883.74 is: 72,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,595.74 : 134,681 = 52,883.74 : x
  2. Step 2: Convert to fraction form
    97,595.74/134,681 = 52,883.74/x
  3. Step 3: Cross multiply
    97,595.74x = 134,681 × 52,883.74
  4. Step 4: Simplify right side
    97,595.74x = 7,122,434,986.94
  5. Step 5: Solve for x
    x = 7,122,434,986.94/97,595.74
  6. Step 6: Final answer
    x = 72,978.95

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1.5x scale

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.