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Finding the Fourth Proportional to 65,113, 97,601.40 and 30,075.64

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Solution

The fourth proportional to 65,113, 97,601.40 and 30,075.64 is: 45,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,113 : 97,601.40 = 30,075.64 : x
  2. Step 2: Convert to fraction form
    65,113/97,601.40 = 30,075.64/x
  3. Step 3: Cross multiply
    65,113x = 97,601.40 × 30,075.64
  4. Step 4: Simplify right side
    65,113x = 2,935,424,569.90
  5. Step 5: Solve for x
    x = 2,935,424,569.90/65,113
  6. Step 6: Final answer
    x = 45,082.00

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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.