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Finding the Fourth Proportional to 130,044, 195,066.08 and 31,548

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Solution

The fourth proportional to 130,044, 195,066.08 and 31,548 is: 47,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,044 : 195,066.08 = 31,548 : x
  2. Step 2: Convert to fraction form
    130,044/195,066.08 = 31,548/x
  3. Step 3: Cross multiply
    130,044x = 195,066.08 × 31,548
  4. Step 4: Simplify right side
    130,044x = 6,153,944,691.84
  5. Step 5: Solve for x
    x = 6,153,944,691.84/130,044
  6. Step 6: Final answer
    x = 47,322.02

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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.