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Finding the Fourth Proportional to 32,465.16, 48,697.77 and 17,702.91

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Solution

The fourth proportional to 32,465.16, 48,697.77 and 17,702.91 is: 26,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.16 : 48,697.77 = 17,702.91 : x
  2. Step 2: Convert to fraction form
    32,465.16/48,697.77 = 17,702.91/x
  3. Step 3: Cross multiply
    32,465.16x = 48,697.77 × 17,702.91
  4. Step 4: Simplify right side
    32,465.16x = 862,092,239.51
  5. Step 5: Solve for x
    x = 862,092,239.51/32,465.16
  6. Step 6: Final answer
    x = 26,554.38

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1.5x scale

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.