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Finding the Fourth Proportional to 42,543.48, 63,802.24 and 14,835

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Solution

The fourth proportional to 42,543.48, 63,802.24 and 14,835 is: 22,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,543.48 : 63,802.24 = 14,835 : x
  2. Step 2: Convert to fraction form
    42,543.48/63,802.24 = 14,835/x
  3. Step 3: Cross multiply
    42,543.48x = 63,802.24 × 14,835
  4. Step 4: Simplify right side
    42,543.48x = 946,506,230.40
  5. Step 5: Solve for x
    x = 946,506,230.40/42,543.48
  6. Step 6: Final answer
    x = 22,247.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.