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Finding the Fourth Proportional to 97,428, 134,450.64 and 52,716

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Solution

The fourth proportional to 97,428, 134,450.64 and 52,716 is: 72,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,428 : 134,450.64 = 52,716 : x
  2. Step 2: Convert to fraction form
    97,428/134,450.64 = 52,716/x
  3. Step 3: Cross multiply
    97,428x = 134,450.64 × 52,716
  4. Step 4: Simplify right side
    97,428x = 7,087,699,938.24
  5. Step 5: Solve for x
    x = 7,087,699,938.24/97,428
  6. Step 6: Final answer
    x = 72,748.08

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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.