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Finding the Fourth Proportional to 98,044.16, 147,046.08 and 27,904.64

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Solution

The fourth proportional to 98,044.16, 147,046.08 and 27,904.64 is: 41,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,044.16 : 147,046.08 = 27,904.64 : x
  2. Step 2: Convert to fraction form
    98,044.16/147,046.08 = 27,904.64/x
  3. Step 3: Cross multiply
    98,044.16x = 147,046.08 × 27,904.64
  4. Step 4: Simplify right side
    98,044.16x = 4,103,267,925.81
  5. Step 5: Solve for x
    x = 4,103,267,925.81/98,044.16
  6. Step 6: Final answer
    x = 41,851.22

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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.