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Finding the Fourth Proportional to 59,552, 89,328 and 15,776

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Solution

The fourth proportional to 59,552, 89,328 and 15,776 is: 23,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,552 : 89,328 = 15,776 : x
  2. Step 2: Convert to fraction form
    59,552/89,328 = 15,776/x
  3. Step 3: Cross multiply
    59,552x = 89,328 × 15,776
  4. Step 4: Simplify right side
    59,552x = 1,409,238,528
  5. Step 5: Solve for x
    x = 1,409,238,528/59,552
  6. Step 6: Final answer
    x = 23,664

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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.