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Finding the Fourth Proportional to 98,509.90, 147,807.79 and 34,513.95

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Solution

The fourth proportional to 98,509.90, 147,807.79 and 34,513.95 is: 51,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,509.90 : 147,807.79 = 34,513.95 : x
  2. Step 2: Convert to fraction form
    98,509.90/147,807.79 = 34,513.95/x
  3. Step 3: Cross multiply
    98,509.90x = 147,807.79 × 34,513.95
  4. Step 4: Simplify right side
    98,509.90x = 5,101,430,956.91
  5. Step 5: Solve for x
    x = 5,101,430,956.91/98,509.90
  6. Step 6: Final answer
    x = 51,785.97

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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.