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Finding the Fourth Proportional to 31,952.76, 44,094.24 and 17,417.08

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Solution

The fourth proportional to 31,952.76, 44,094.24 and 17,417.08 is: 24,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.76 : 44,094.24 = 17,417.08 : x
  2. Step 2: Convert to fraction form
    31,952.76/44,094.24 = 17,417.08/x
  3. Step 3: Cross multiply
    31,952.76x = 44,094.24 × 17,417.08
  4. Step 4: Simplify right side
    31,952.76x = 767,992,712.71
  5. Step 5: Solve for x
    x = 767,992,712.71/31,952.76
  6. Step 6: Final answer
    x = 24,035.25

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1.5x scale

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.