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Finding the Fourth Proportional to 97,335, 134,322.30 and 52,623

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Solution

The fourth proportional to 97,335, 134,322.30 and 52,623 is: 72,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,335 : 134,322.30 = 52,623 : x
  2. Step 2: Convert to fraction form
    97,335/134,322.30 = 52,623/x
  3. Step 3: Cross multiply
    97,335x = 134,322.30 × 52,623
  4. Step 4: Simplify right side
    97,335x = 7,068,442,392.90
  5. Step 5: Solve for x
    x = 7,068,442,392.90/97,335
  6. Step 6: Final answer
    x = 72,619.74

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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.