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Finding the Fourth Proportional to 97,653.79, 146,492.40 and 34,460.86

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Solution

The fourth proportional to 97,653.79, 146,492.40 and 34,460.86 is: 51,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,653.79 : 146,492.40 = 34,460.86 : x
  2. Step 2: Convert to fraction form
    97,653.79/146,492.40 = 34,460.86/x
  3. Step 3: Cross multiply
    97,653.79x = 146,492.40 × 34,460.86
  4. Step 4: Simplify right side
    97,653.79x = 5,048,253,931.29
  5. Step 5: Solve for x
    x = 5,048,253,931.29/97,653.79
  6. Step 6: Final answer
    x = 51,695.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.