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Finding the Fourth Proportional to 98,564.54, 147,849.71 and 38,590.52

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Solution

The fourth proportional to 98,564.54, 147,849.71 and 38,590.52 is: 57,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,564.54 : 147,849.71 = 38,590.52 : x
  2. Step 2: Convert to fraction form
    98,564.54/147,849.71 = 38,590.52/x
  3. Step 3: Cross multiply
    98,564.54x = 147,849.71 × 38,590.52
  4. Step 4: Simplify right side
    98,564.54x = 5,705,596,258.55
  5. Step 5: Solve for x
    x = 5,705,596,258.55/98,564.54
  6. Step 6: Final answer
    x = 57,886.91

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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.