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Finding the Fourth Proportional to 32,646.98, 45,029.50 and 29,966.71

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Solution

The fourth proportional to 32,646.98, 45,029.50 and 29,966.71 is: 41,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646.98 : 45,029.50 = 29,966.71 : x
  2. Step 2: Convert to fraction form
    32,646.98/45,029.50 = 29,966.71/x
  3. Step 3: Cross multiply
    32,646.98x = 45,029.50 × 29,966.71
  4. Step 4: Simplify right side
    32,646.98x = 1,349,386,117.88
  5. Step 5: Solve for x
    x = 1,349,386,117.88/32,646.98
  6. Step 6: Final answer
    x = 41,332.65

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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.