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Finding the Fourth Proportional to 42,802.47, 59,069.14 and 23,681.93

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Solution

The fourth proportional to 42,802.47, 59,069.14 and 23,681.93 is: 32,682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,802.47 : 59,069.14 = 23,681.93 : x
  2. Step 2: Convert to fraction form
    42,802.47/59,069.14 = 23,681.93/x
  3. Step 3: Cross multiply
    42,802.47x = 59,069.14 × 23,681.93
  4. Step 4: Simplify right side
    42,802.47x = 1,398,871,465.93
  5. Step 5: Solve for x
    x = 1,398,871,465.93/42,802.47
  6. Step 6: Final answer
    x = 32,682.03

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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.