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Finding the Fourth Proportional to 32,973.48, 49,416.48 and 28,570.32

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Solution

The fourth proportional to 32,973.48, 49,416.48 and 28,570.32 is: 42,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,973.48 : 49,416.48 = 28,570.32 : x
  2. Step 2: Convert to fraction form
    32,973.48/49,416.48 = 28,570.32/x
  3. Step 3: Cross multiply
    32,973.48x = 49,416.48 × 28,570.32
  4. Step 4: Simplify right side
    32,973.48x = 1,411,844,646.87
  5. Step 5: Solve for x
    x = 1,411,844,646.87/32,973.48
  6. Step 6: Final answer
    x = 42,817.58

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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.