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Finding the Fourth Proportional to 32,038.24, 44,210.64 and 17,888.32

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Solution

The fourth proportional to 32,038.24, 44,210.64 and 17,888.32 is: 24,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.24 : 44,210.64 = 17,888.32 : x
  2. Step 2: Convert to fraction form
    32,038.24/44,210.64 = 17,888.32/x
  3. Step 3: Cross multiply
    32,038.24x = 44,210.64 × 17,888.32
  4. Step 4: Simplify right side
    32,038.24x = 790,854,075.72
  5. Step 5: Solve for x
    x = 790,854,075.72/32,038.24
  6. Step 6: Final answer
    x = 24,684.69

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