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Finding the Fourth Proportional to 35,031.78, 48,345.02 and 19,117.10

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Solution

The fourth proportional to 35,031.78, 48,345.02 and 19,117.10 is: 26,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,031.78 : 48,345.02 = 19,117.10 : x
  2. Step 2: Convert to fraction form
    35,031.78/48,345.02 = 19,117.10/x
  3. Step 3: Cross multiply
    35,031.78x = 48,345.02 × 19,117.10
  4. Step 4: Simplify right side
    35,031.78x = 924,216,581.84
  5. Step 5: Solve for x
    x = 924,216,581.84/35,031.78
  6. Step 6: Final answer
    x = 26,382.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.